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313283340 = 223253494987
BaseRepresentation
bin10010101011000…
…101001100001100
3210211111102221200
4102223011030030
51120200031330
651030425500
710522602336
oct2253051414
9724442850
10313283340
11150927457
1288b02290
134cb9bc76
142d870456
151c784a60
hex12ac530c

313283340 has 72 divisors (see below), whose sum is σ = 953206800. Its totient is φ = 83286144.

The previous prime is 313283287. The next prime is 313283353. The reversal of 313283340 is 43382313.

313283340 is a `hidden beast` number, since 3 + 1 + 328 + 334 + 0 = 666.

It is a super-2 number, since 2×3132833402 = 196292902243111200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60327 + ... + 65313.

Almost surely, 2313283340 is an apocalyptic number.

313283340 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 313283340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476603400).

313283340 is an abundant number, since it is smaller than the sum of its proper divisors (639923460).

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

313283340 is a wasteful number, since it uses less digits than its factorization.

313283340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 313283340 is about 17699.8118634069. The cubic root of 313283340 is about 679.1709475351.

The spelling of 313283340 in words is "three hundred thirteen million, two hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 349 698 1047 1396 1745 2094 3141 3490 4188 4987 5235 6282 6980 9974 10470 12564 14961 15705 19948 20940 24935 29922 31410 44883 49870 59844 62820 74805 89766 99740 149610 179532 224415 299220 448830 897660 1740463 3480926 5221389 6961852 8702315 10442778 15664167 17404630 20885556 26106945 31328334 34809260 52213890 62656668 78320835 104427780 156641670 313283340