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1034686464 = 2123723523
BaseRepresentation
bin111101101011000…
…001000000000000
32200002221111222220
4331223001000000
54104334431324
6250400531040
734432455420
oct7553010000
92602844886
101034686464
11491065289
1224a620a80
13136493316
149b5ba480
1560c83b79
hex3dac1000

1034686464 has 208 divisors, whose sum is σ = 3296320512. Its totient is φ = 282230784.

The previous prime is 1034686423. The next prime is 1034686483. The reversal of 1034686464 is 4646864301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978107 + ... + 1978629.

Almost surely, 21034686464 is an apocalyptic number.

1034686464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648160256).

1034686464 is an abundant number, since it is smaller than the sum of its proper divisors (2261634048).

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

1034686464 is an equidigital number, since it uses as much as digits as its factorization.

1034686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 1034686464 is about 32166.5426180682. The cubic root of 1034686464 is about 1011.4309892648.

The spelling of 1034686464 in words is "one billion, thirty-four million, six hundred eighty-six thousand, four hundred sixty-four".