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345775512 = 23317978737
BaseRepresentation
bin10100100111000…
…001110110011000
3220002122012211110
4110213001312120
51202004304022
654151100320
711366020605
oct2447016630
9802565743
10345775512
111681aa295
12979716a0
13568373c4
1433ccb6ac
152055200c
hex149c1d98

345775512 has 64 divisors (see below), whose sum is σ = 924829920. Its totient is φ = 107347968.

The previous prime is 345775501. The next prime is 345775531. The reversal of 345775512 is 215577543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 35208 + ... + 43944.

Almost surely, 2345775512 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 345775512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462414960).

345775512 is an abundant number, since it is smaller than the sum of its proper divisors (579054408).

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

345775512 is a wasteful number, since it uses less digits than its factorization.

345775512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 8856 counting only the distinct ones).

The product of its digits is 147000, while the sum is 39.

The square root of 345775512 is about 18595.0399838236. The cubic root of 345775512 is about 701.8830334095.

The spelling of 345775512 in words is "three hundred forty-five million, seven hundred seventy-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 194 204 291 388 408 582 776 1164 1649 2328 3298 4947 6596 8737 9894 13192 17474 19788 26211 34948 39576 52422 69896 104844 148529 209688 297058 445587 594116 847489 891174 1188232 1694978 1782348 2542467 3389956 3564696 5084934 6779912 10169868 14407313 20339736 28814626 43221939 57629252 86443878 115258504 172887756 345775512