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34831264 = 2513101829
BaseRepresentation
bin1000010011011…
…1101110100000
32102112121111211
42010313232200
532404100024
63242315504
7602026606
oct204675640
972477454
1034831264
1118730276
12b7b8b94
1372a7020
1448a9876
1530d0594
hex2137ba0

34831264 has 48 divisors (see below), whose sum is σ = 74670120. Its totient is φ = 15897600.

The previous prime is 34831253. The next prime is 34831267. The reversal of 34831264 is 46213843.

It can be written as a sum of positive squares in 4 ways, for example, as 32581264 + 2250000 = 5708^2 + 1500^2 .

It is not an unprimeable number, because it can be changed into a prime (34831267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41602 + ... + 42430.

Almost surely, 234831264 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 34831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37335060).

34831264 is an abundant number, since it is smaller than the sum of its proper divisors (39838856).

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

34831264 is a wasteful number, since it uses less digits than its factorization.

34831264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 34831264 is about 5901.8017587852. The cubic root of 34831264 is about 326.5801205315.

The spelling of 34831264 in words is "thirty-four million, eight hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 829 1313 1616 1658 2626 3232 3316 5252 6632 10504 10777 13264 21008 21554 26528 42016 43108 83729 86216 167458 172432 334916 344864 669832 1088477 1339664 2176954 2679328 4353908 8707816 17415632 34831264