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316043264 = 2121931131
BaseRepresentation
bin10010110101100…
…111000000000000
3211000200122212002
4102311213000000
51121401341024
651205523132
710555215635
oct2265470000
9730618762
10316043264
11152441a89
1289a134a8
1350627264
142dd8c18c
151cb2c6ae
hex12d67000

316043264 has 104 divisors (see below), whose sum is σ = 691975680. Its totient is φ = 143769600.

The previous prime is 316043263. The next prime is 316043267. The reversal of 316043264 is 462340613.

It is a super-3 number, since 3×3160432643 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316043263) 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, 2412479 + ... + 2412609.

Almost surely, 2316043264 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 316043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345987840).

316043264 is an abundant number, since it is smaller than the sum of its proper divisors (375932416).

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

316043264 is a wasteful number, since it uses less digits than its factorization.

316043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 316043264 is about 17777.6056880560. The cubic root of 316043264 is about 681.1595440991.

Adding to 316043264 its reverse (462340613), we get a palindrome (778383877).

The spelling of 316043264 in words is "three hundred sixteen million, forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 131 152 248 256 262 304 496 512 524 589 608 992 1024 1048 1178 1216 1984 2048 2096 2356 2432 2489 3968 4061 4096 4192 4712 4864 4978 7936 8122 8384 9424 9728 9956 15872 16244 16768 18848 19456 19912 31744 32488 33536 37696 38912 39824 63488 64976 67072 75392 77159 77824 79648 126976 129952 134144 150784 154318 159296 259904 268288 301568 308636 318592 519808 536576 603136 617272 637184 1039616 1206272 1234544 1274368 2079232 2412544 2469088 2548736 4158464 4938176 5097472 8316928 9876352 10194944 16633856 19752704 39505408 79010816 158021632 316043264