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345055032 = 23337228211
BaseRepresentation
bin10100100100010…
…001111100111000
3220001021121112000
4110210101330320
51201313230112
654123421000
711356630230
oct2444217470
9801247460
10345055032
11167857a53
1297684760
135664449a
1433b80cc0
152045d7dc
hex14911f38

345055032 has 64 divisors (see below), whose sum is σ = 1095417600. Its totient is φ = 98586720.

The previous prime is 345055031. The next prime is 345055037. The reversal of 345055032 is 230550543.

345055032 is a `hidden beast` number, since 34 + 50 + 550 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 345054987 and 345055005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345055031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112594 + ... + 115617.

It is an arithmetic number, because the mean of its divisors is an integer number (17115900).

Almost surely, 2345055032 is an apocalyptic number.

It is an amenable number.

345055032 is an abundant number, since it is smaller than the sum of its proper divisors (750362568).

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

345055032 is a wasteful number, since it uses less digits than its factorization.

345055032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228233 (or 228223 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 345055032 is about 18575.6569735770. The cubic root of 345055032 is about 701.3951982788.

The spelling of 345055032 in words is "three hundred forty-five million, fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 228211 456422 684633 912844 1369266 1597477 1825688 2053899 2738532 3194954 4107798 4792431 5477064 6161697 6389908 8215596 9584862 12323394 12779816 14377293 16431192 19169724 24646788 28754586 38339448 43131879 49293576 57509172 86263758 115018344 172527516 345055032