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318145872 = 243111813329
BaseRepresentation
bin10010111101101…
…000010101010000
3211011122111002110
4102331220111100
51122421131442
651322545320
710612123662
oct2275502520
9734574073
10318145872
11153648780
128a668240
1350bb22c5
1430378532
151cde569c
hex12f68550

318145872 has 80 divisors (see below), whose sum is σ = 901817280. Its totient is φ = 95846400.

The previous prime is 318145831. The next prime is 318145879. The reversal of 318145872 is 278541813.

It is a self number, because there is not a number n which added to its sum of digits gives 318145872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318145879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93904 + ... + 97232.

It is an arithmetic number, because the mean of its divisors is an integer number (11272716).

Almost surely, 2318145872 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 318145872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450908640).

318145872 is an abundant number, since it is smaller than the sum of its proper divisors (583671408).

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

318145872 is a wasteful number, since it uses less digits than its factorization.

318145872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3526 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 318145872 is about 17836.6440789740. The cubic root of 318145872 is about 682.6667713589. Note that the first 3 decimals are identical.

The spelling of 318145872 in words is "three hundred eighteen million, one hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 181 264 362 528 543 724 1086 1448 1991 2172 2896 3329 3982 4344 5973 6658 7964 8688 9987 11946 13316 15928 19974 23892 26632 31856 36619 39948 47784 53264 73238 79896 95568 109857 146476 159792 219714 292952 439428 585904 602549 878856 1205098 1757712 1807647 2410196 3615294 4820392 6628039 7230588 9640784 13256078 14461176 19884117 26512156 28922352 39768234 53024312 79536468 106048624 159072936 318145872