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34925328 = 2432409593
BaseRepresentation
bin1000010100111…
…0101100010000
32102201101112200
42011032230100
532420102303
63244323200
7602601054
oct205165420
972641480
1034925328
1118794a09
12b843500
13730aa99
1448d1c64
1530ed3a3
hex214eb10

34925328 has 60 divisors (see below), whose sum is σ = 98146620. Its totient is φ = 11593728.

The previous prime is 34925323. The next prime is 34925329. The reversal of 34925328 is 82352943.

34925328 is a `hidden beast` number, since 34 + 92 + 532 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27373824 + 7551504 = 5232^2 + 2748^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34925292 and 34925301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34925323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58600 + ... + 59192.

It is an arithmetic number, because the mean of its divisors is an integer number (1635777).

Almost surely, 234925328 is an apocalyptic number.

It is an amenable number.

34925328 is an abundant number, since it is smaller than the sum of its proper divisors (63221292).

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

34925328 is a wasteful number, since it uses less digits than its factorization.

34925328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 34925328 is about 5909.7654775803. The cubic root of 34925328 is about 326.8738396131.

It can be divided in two parts, 349253 and 28, that added together give a square (349281 = 5912).

The spelling of 34925328 in words is "thirty-four million, nine hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 409 593 818 1186 1227 1636 1779 2372 2454 3272 3558 3681 4744 4908 5337 6544 7116 7362 9488 9816 10674 14232 14724 19632 21348 28464 29448 42696 58896 85392 242537 485074 727611 970148 1455222 1940296 2182833 2910444 3880592 4365666 5820888 8731332 11641776 17462664 34925328