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383285664 = 25323735969
BaseRepresentation
bin10110110110000…
…111100110100000
3222201012221002100
4112312013212200
51241110120124
6102011050400
712332605626
oct2666074640
9881187070
10383285664
1118739a213
12a8440a00
136153b868
1438c93516
15239b11c9
hex16d879a0

383285664 has 72 divisors (see below), whose sum is σ = 1119458340. Its totient is φ = 124305408.

The previous prime is 383285659. The next prime is 383285681. The reversal of 383285664 is 466582383.

It is a happy number.

383285664 is a `hidden beast` number, since 3 + 83 + 2 + 8 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 299013264 + 84272400 = 17292^2 + 9180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7329 + ... + 28640.

Almost surely, 2383285664 is an apocalyptic number.

It is an amenable number.

383285664 is an abundant number, since it is smaller than the sum of its proper divisors (736172676).

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

383285664 is a wasteful number, since it uses less digits than its factorization.

383285664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36022 (or 36011 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 383285664 is about 19577.6828046631. The cubic root of 383285664 is about 726.3972508904.

The spelling of 383285664 in words is "three hundred eighty-three million, two hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 35969 71938 107907 143876 215814 287752 323721 431628 575504 647442 863256 1151008 1294884 1330853 1726512 2589768 2661706 3453024 3992559 5179536 5323412 7985118 10359072 10646824 11977677 15970236 21293648 23955354 31940472 42587296 47910708 63880944 95821416 127761888 191642832 383285664