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3355460352 = 28322416043
BaseRepresentation
bin1100100000000000…
…0100001100000000
322122211220001021100
43020000010030000
523332444212402
61312543054400
7146102641146
oct31000041400
98584801240
103355460352
111472085032
127978a1400
1341622cbca
1423b8d5596
151498aa71c
hexc8004300

3355460352 has 108 divisors (see below), whose sum is σ = 9716370664. Its totient is φ = 1113661440.

The previous prime is 3355460351. The next prime is 3355460371. The reversal of 3355460352 is 2530645533.

It is a super-3 number, since 3×33554603523 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (3355460351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552243 + ... + 558285.

Almost surely, 23355460352 is an apocalyptic number.

3355460352 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 3355460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858185332).

3355460352 is an abundant number, since it is smaller than the sum of its proper divisors (6360910312).

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

3355460352 is a wasteful number, since it uses less digits than its factorization.

3355460352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6306 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 3355460352 is about 57926.3355650951. The cubic root of 3355460352 is about 1497.0996328615.

The spelling of 3355460352 in words is "three billion, three hundred fifty-five million, four hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 256 288 384 482 576 723 768 964 1152 1446 1928 2169 2304 2892 3856 4338 5784 6043 7712 8676 11568 12086 15424 17352 18129 23136 24172 30848 34704 36258 46272 48344 54387 61696 69408 72516 92544 96688 108774 138816 145032 185088 193376 217548 277632 290064 386752 435096 555264 580128 773504 870192 1160256 1456363 1547008 1740384 2320512 2912726 3480768 4369089 4641024 5825452 6961536 8738178 11650904 13107267 13923072 17476356 23301808 26214534 34952712 46603616 52429068 69905424 93207232 104858136 139810848 186414464 209716272 279621696 372828928 419432544 559243392 838865088 1118486784 1677730176 3355460352