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34830464 = 272311831
BaseRepresentation
bin1000010011011…
…1100010000000
32102112120102012
42010313202000
532404033324
63242312052
7602024354
oct204674200
972476365
1034830464
111872a709
12b7b8628
1372a6856
1448a9464
1530d020e
hex2137880

34830464 has 32 divisors (see below), whose sum is σ = 72411840. Its totient is φ = 16656640.

The previous prime is 34830463. The next prime is 34830527. The reversal of 34830464 is 46403843.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×348304642 = 2426322444910592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34830464.

It is not an unprimeable number, because it can be changed into a prime (34830461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2972 + ... + 8859.

It is an arithmetic number, because the mean of its divisors is an integer number (2262870).

Almost surely, 234830464 is an apocalyptic number.

It is an amenable number.

34830464 is an abundant number, since it is smaller than the sum of its proper divisors (37581376).

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

34830464 is a wasteful number, since it uses less digits than its factorization.

34830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11868 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 34830464 is about 5901.7339824835. The cubic root of 34830464 is about 326.5776202289.

The spelling of 34830464 in words is "thirty-four million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 11831 23662 47324 94648 189296 272113 378592 544226 757184 1088452 1514368 2176904 4353808 8707616 17415232 34830464