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3354088032 = 2532172923623
BaseRepresentation
bin1100011111101011…
…0101001001100000
322122202022022210200
43013322311021200
523332121304112
61312453425200
7146055164211
oct30772651140
98582268720
103354088032
111471327a89
1279733b200
13415b6c399
1423b659408
151496d8cdc
hexc7eb5260

3354088032 has 144 divisors (see below), whose sum is σ = 10447950240. Its totient is φ = 1015934976.

The previous prime is 3354088027. The next prime is 3354088033. The reversal of 3354088032 is 2308804533.

3354088032 is a `hidden beast` number, since 3 + 3 + 540 + 8 + 80 + 32 = 666.

3354088032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33540880322 = 22499813052811266048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354088033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130173 + ... + 153795.

It is an arithmetic number, because the mean of its divisors is an integer number (72555210).

Almost surely, 23354088032 is an apocalyptic number.

3354088032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354088032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223975120).

3354088032 is an abundant number, since it is smaller than the sum of its proper divisors (7093862208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3354088032 is a wasteful number, since it uses less digits than its factorization.

3354088032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23685 (or 23674 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3354088032 is about 57914.4889643343. The cubic root of 3354088032 is about 1496.8955098600.

The spelling of 3354088032 in words is "three billion, three hundred fifty-four million, eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1392 1479 1632 1972 2088 2448 2784 2958 3944 4176 4437 4896 5916 7888 8352 8874 11832 15776 17748 23623 23664 35496 47246 47328 70869 70992 94492 141738 141984 188984 212607 283476 377968 401591 425214 566952 685067 755936 803182 850428 1133904 1204773 1370134 1606364 1700856 2055201 2267808 2409546 2740268 3212728 3401712 3614319 4110402 4819092 5480536 6165603 6425456 6803424 7228638 8220804 9638184 10961072 11646139 12331206 12850912 14457276 16441608 19276368 21922144 23292278 24662412 28914552 32883216 34938417 38552736 46584556 49324824 57829104 65766432 69876834 93169112 98649648 104815251 115658208 139753668 186338224 197299296 209630502 279507336 372676448 419261004 559014672 838522008 1118029344 1677044016 3354088032