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352065672 = 23327698543
BaseRepresentation
bin10100111111000…
…001100010001000
3220112110210022100
4110333001202020
51210112100142
654533553400
711503336350
oct2477014210
9815423270
10352065672
11170806172
1299aa5860
1357c2a4aa
1434a87b60
1520d95b4c
hex14fc1888

352065672 has 48 divisors (see below), whose sum is σ = 1089728640. Its totient is φ = 100590048.

The previous prime is 352065653. The next prime is 352065719. The reversal of 352065672 is 276560253.

It is a happy number.

352065672 is a `hidden beast` number, since 3 + 520 + 65 + 6 + 72 = 666.

352065672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3520656723 (a number of 27 digits) contains 333 as substring.

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

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, 348768 + ... + 349775.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2352065672 is an apocalyptic number.

It is an amenable number.

352065672 is an abundant number, since it is smaller than the sum of its proper divisors (737662968).

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

352065672 is a wasteful number, since it uses less digits than its factorization.

352065672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698562 (or 698555 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 352065672 is about 18763.4131223506. The cubic root of 352065672 is about 706.1135743794.

The spelling of 352065672 in words is "three hundred fifty-two million, sixty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 698543 1397086 2095629 2794172 4191258 4889801 5588344 6286887 8382516 9779602 12573774 14669403 16765032 19559204 25147548 29338806 39118408 44008209 50295096 58677612 88016418 117355224 176032836 352065672