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3305694252 = 2237219449659
BaseRepresentation
bin1100010100001000…
…1110010000101100
322112101020200000110
43011002032100230
523232224204002
61304004300020
7144626636400
oct30502162054
98471220013
103305694252
111446a84023
127830a1610
13408b27103
1423505d100
15145329e6c
hexc508e42c

3305694252 has 144 divisors (see below), whose sum is σ = 9480240000. Its totient is φ = 891426816.

The previous prime is 3305694239. The next prime is 3305694263. The reversal of 3305694252 is 2524965033.

It is a super-2 number, since 2×33056942522 = 21855228975411679008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3305694252.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5015899 + ... + 5016557.

It is an arithmetic number, because the mean of its divisors is an integer number (65835000).

Almost surely, 23305694252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305694252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740120000).

3305694252 is an abundant number, since it is smaller than the sum of its proper divisors (6174545748).

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

3305694252 is a wasteful number, since it uses less digits than its factorization.

3305694252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 3305694252 is about 57495.1672056009. The cubic root of 3305694252 is about 1489.6613875525.

The spelling of 3305694252 in words is "three billion, three hundred five million, six hundred ninety-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 449 532 588 659 798 898 931 1318 1347 1596 1796 1862 1977 2636 2694 2793 3143 3724 3954 4613 5388 5586 6286 7908 8531 9226 9429 11172 12521 12572 13839 17062 18452 18858 22001 25042 25593 27678 32291 34124 37563 37716 44002 50084 51186 55356 59717 64582 66003 75126 87647 88004 96873 102372 119434 129164 132006 150252 175294 179151 193746 238868 262941 264012 295891 350588 358302 387492 418019 525882 591782 613529 716604 836038 887673 1051764 1183564 1227058 1254057 1672076 1775346 1840587 2071237 2454116 2508114 3550692 3681174 4142474 5016228 5621929 6213711 7362348 8284948 11243858 12427422 14498659 16865787 22487716 24854844 28997318 33731574 39353503 43495977 57994636 67463148 78707006 86991954 118060509 157414012 173983908 236121018 275474521 472242036 550949042 826423563 1101898084 1652847126 3305694252