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3405000032 = 257196711941
BaseRepresentation
bin1100101011110100…
…0010110101100000
322210022002220221022
43022331002311200
523433140000112
61321512545012
7150244010540
oct31275026540
98708086838
103405000032
111498040a15
127b03b2168
13423586925
1424430d320
1514dde3d72
hexcaf42d60

3405000032 has 96 divisors (see below), whose sum is σ = 8185524480. Its totient is φ = 1361733120.

The previous prime is 3405000029. The next prime is 3405000043. The reversal of 3405000032 is 2300005043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279182 + ... + 291122.

It is an arithmetic number, because the mean of its divisors is an integer number (85265880).

Almost surely, 23405000032 is an apocalyptic number.

3405000032 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 3405000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092762240).

3405000032 is an abundant number, since it is smaller than the sum of its proper divisors (4780524448).

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

3405000032 is a wasteful number, since it uses less digits than its factorization.

3405000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12044 (or 12036 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3405000032 is about 58352.3781177768. The cubic root of 3405000032 is about 1504.4313450809.

Adding to 3405000032 its reverse (2300005043), we get a palindrome (5705005075).

The spelling of 3405000032 in words is "three billion, four hundred five million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 67 76 112 133 134 152 224 266 268 304 469 532 536 608 938 1064 1072 1273 1876 2128 2144 2546 3752 4256 5092 7504 8911 10184 11941 15008 17822 20368 23882 35644 40736 47764 71288 83587 95528 142576 167174 191056 226879 285152 334348 382112 453758 668696 800047 907516 1337392 1588153 1600094 1815032 2674784 3176306 3200188 3630064 5600329 6352612 6400376 7260128 11200658 12705224 12800752 15200893 22401316 25410448 25601504 30401786 44802632 50820896 60803572 89605264 106406251 121607144 179210528 212812502 243214288 425625004 486428576 851250008 1702500016 3405000032