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1036324864 = 2125032
BaseRepresentation
bin111101110001010…
…001000000000000
32200020000202110101
4331301101000000
54110244343424
6250500012144
734452421201
oct7561210000
92606022411
101036324864
11491a84233
1224b091054
13136917ca3
149b8c55a8
1560ea9344
hex3dc51000

1036324864 has 39 divisors (see below), whose sum is σ = 2076524983. Its totient is φ = 517132288.

The previous prime is 1036324859. The next prime is 1036324871. The reversal of 1036324864 is 4684236301.

The square root of 1036324864 is 32192.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×10363248643 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2060037 + ... + 2060539.

Almost surely, 21036324864 is an apocalyptic number.

1036324864 is the 32192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036324864

1036324864 is an abundant number, since it is smaller than the sum of its proper divisors (1040200119).

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

1036324864 is an frugal number, since it uses more digits than its factorization.

1036324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The cubic root of 1036324864 is about 1011.9645662420.

Multiplying 1036324864 by its product of nonzero digits (82944), we get a square (85956929519616 = 92712962).

The spelling of 1036324864 in words is "one billion, thirty-six million, three hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 503 512 1006 1024 2012 2048 4024 4096 8048 16096 32192 64384 128768 253009 257536 506018 515072 1012036 1030144 2024072 2060288 4048144 8096288 16192576 32385152 64770304 129540608 259081216 518162432 1036324864