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3114667264 = 28191036217
BaseRepresentation
bin1011100110100110…
…0000110100000000
322001001210111020211
42321221200310000
522334323323024
61233022043504
7140120143402
oct27151406400
98031714224
103114667264
11135916a685
1272b119594
133a83920a7
14217934b72
15133694594
hexb9a60d00

3114667264 has 72 divisors (see below), whose sum is σ = 6608987840. Its totient is φ = 1460809728.

The previous prime is 3114667249. The next prime is 3114667267. The reversal of 3114667264 is 4627664113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114667267) 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, 497884 + ... + 504100.

Almost surely, 23114667264 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 3114667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304493920).

3114667264 is an abundant number, since it is smaller than the sum of its proper divisors (3494320576).

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

3114667264 is a wasteful number, since it uses less digits than its factorization.

3114667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6341 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 3114667264 is about 55809.2041154503. The cubic root of 3114667264 is about 1460.3957243448.

The spelling of 3114667264 in words is "three billion, one hundred fourteen million, six hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 103 128 152 206 256 304 412 608 824 1216 1648 1957 2432 3296 3914 4864 6217 6592 7828 12434 13184 15656 24868 26368 31312 49736 62624 99472 118123 125248 198944 236246 250496 397888 472492 500992 640351 795776 944984 1280702 1591552 1889968 2561404 3779936 5122808 7559872 10245616 12166669 15119744 20491232 24333338 30239488 40982464 48666676 81964928 97333352 163929856 194666704 389333408 778666816 1557333632 3114667264