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318197152 = 25713113967
BaseRepresentation
bin10010111101110…
…100110110100000
3211011202002102201
4102331310312200
51122424302102
651324022544
710612426330
oct2275646640
9734662381
10318197152
11153683259
128a691a54
1350bcc750
143038d0c0
151ce05987
hex12f74da0

318197152 has 96 divisors (see below), whose sum is σ = 778643712. Its totient is φ = 124637184.

The previous prime is 318197101. The next prime is 318197153. The reversal of 318197152 is 251791813.

318197152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3181971523 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (318197153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328573 + ... + 329539.

It is an arithmetic number, because the mean of its divisors is an integer number (8110872).

Almost surely, 2318197152 is an apocalyptic number.

318197152 is a gapful number since it is divisible by the number (32) 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 318197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389321856).

318197152 is an abundant number, since it is smaller than the sum of its proper divisors (460446560).

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

318197152 is a wasteful number, since it uses less digits than its factorization.

318197152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its digits is 15120, while the sum is 37.

The square root of 318197152 is about 17838.0815111940. The cubic root of 318197152 is about 682.7034476914.

The spelling of 318197152 in words is "three hundred eighteen million, one hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 113 182 208 224 226 364 416 452 728 791 904 967 1456 1469 1582 1808 1934 2912 2938 3164 3616 3868 5876 6328 6769 7736 10283 11752 12571 12656 13538 15472 20566 23504 25142 25312 27076 30944 41132 47008 50284 54152 82264 87997 100568 108304 109271 164528 175994 201136 216608 218542 329056 351988 402272 437084 703976 764897 874168 1407952 1420523 1529794 1748336 2815904 2841046 3059588 3496672 5682092 6119176 9943661 11364184 12238352 19887322 22728368 24476704 39774644 45456736 79549288 159098576 318197152