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3364912152 = 233379722943
BaseRepresentation
bin1100100010010000…
…0111110000011000
322200111200020201000
43020210013300120
523342404142102
61313521425000
7146246165340
oct31044076030
98614606630
103364912152
111477450338
1279aa9b160
1341818c0a4
1423cc75d20
1514a62601c
hexc8907c18

3364912152 has 128 divisors (see below), whose sum is σ = 10792857600. Its totient is φ = 951450624.

The previous prime is 3364912099. The next prime is 3364912163. The reversal of 3364912152 is 2512194633.

3364912152 is a `hidden beast` number, since 3 + 3 + 649 + 1 + 2 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×33649121522 = 22645267581354542208, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135193 + ... + 158135.

It is an arithmetic number, because the mean of its divisors is an integer number (84319200).

Almost surely, 23364912152 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 3364912152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396428800).

3364912152 is an abundant number, since it is smaller than the sum of its proper divisors (7427945448).

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

3364912152 is a wasteful number, since it uses less digits than its factorization.

3364912152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23062 (or 23052 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3364912152 is about 58007.8628463418. The cubic root of 3364912152 is about 1498.5040125103.

The spelling of 3364912152 in words is "three billion, three hundred sixty-four million, nine hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 252 291 378 388 504 582 679 756 776 873 1164 1358 1512 1746 2037 2328 2619 2716 3492 4074 5238 5432 6111 6984 8148 10476 12222 16296 18333 20952 22943 24444 36666 45886 48888 68829 73332 91772 137658 146664 160601 183544 206487 275316 321202 412974 481803 550632 619461 642404 825948 963606 1238922 1284808 1445409 1651896 1927212 2225471 2477844 2890818 3854424 4336227 4450942 4955688 5781636 6676413 8672454 8901884 11563272 13352826 15578297 17344908 17803768 20029239 26705652 31156594 34689816 40058478 46734891 53411304 60087717 62313188 80116956 93469782 120175434 124626376 140204673 160233912 186939564 240350868 280409346 373879128 420614019 480701736 560818692 841228038 1121637384 1682456076 3364912152