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315466740 = 223251998807
BaseRepresentation
bin10010110011011…
…010001111110100
3210222121101000100
4102303122033310
51121224413430
651145314100
710550265051
oct2263321764
9728541010
10315466740
11152088916
1289795930
1350484a14
142dc7c028
151ca66960
hex12cda3f4

315466740 has 72 divisors (see below), whose sum is σ = 961833600. Its totient is φ = 83692224.

The previous prime is 315466721. The next prime is 315466741. The reversal of 315466740 is 47664513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 315466695 and 315466704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315466741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31417 + ... + 40223.

It is an arithmetic number, because the mean of its divisors is an integer number (13358800).

Almost surely, 2315466740 is an apocalyptic number.

315466740 is a gapful number since it is divisible by the number (30) 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 315466740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480916800).

315466740 is an abundant number, since it is smaller than the sum of its proper divisors (646366860).

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

315466740 is a wasteful number, since it uses less digits than its factorization.

315466740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9021 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 315466740 is about 17761.3833920672. The cubic root of 315466740 is about 680.7451031012.

The spelling of 315466740 in words is "three hundred fifteen million, four hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1791 1990 2388 2985 3582 3980 5970 7164 8807 8955 11940 17614 17910 26421 35228 35820 44035 52842 79263 88070 105684 132105 158526 176140 264210 317052 396315 528420 792630 1585260 1752593 3505186 5257779 7010372 8762965 10515558 15773337 17525930 21031116 26288895 31546674 35051860 52577790 63093348 78866685 105155580 157733370 315466740