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830686464 = 2832360541
BaseRepresentation
bin110001100000110…
…100010100000000
32010220002020121100
4301200310110000
53200123431324
6214232254400
726404501266
oct6140642400
92126066540
10830686464
113969a0043
121b2241400
1310313846a
147c476436
154cdd94c9
hex31834500

830686464 has 54 divisors (see below), whose sum is σ = 2395080506. Its totient is φ = 276894720.

The previous prime is 830686459. The next prime is 830686481. The reversal of 830686464 is 464686038.

It can be written as a sum of positive squares in only one way, i.e., 541958400 + 288728064 = 23280^2 + 16992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177967 + ... + 182574.

Almost surely, 2830686464 is an apocalyptic number.

It is an amenable number.

830686464 is an abundant number, since it is smaller than the sum of its proper divisors (1564394042).

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

830686464 is a wasteful number, since it uses less digits than its factorization.

830686464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360563 (or 360546 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 830686464 is about 28821.6318760753. The cubic root of 830686464 is about 940.0386524019.

The spelling of 830686464 in words is "eight hundred thirty million, six hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 360541 721082 1081623 1442164 2163246 2884328 3244869 4326492 5768656 6489738 8652984 11537312 12979476 17305968 23074624 25958952 34611936 46149248 51917904 69223872 92298496 103835808 138447744 207671616 276895488 415343232 830686464