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313001024 = 267299809
BaseRepresentation
bin10010101010000…
…000010001000000
3210210222002200112
4102222000101000
51120112013044
651020410452
710520315300
oct2252002100
9723862615
10313001024
11150754336
12889a6a28
134cb0060b
142d7d9600
151c72b09e
hex12a80440

313001024 has 42 divisors (see below), whose sum is σ = 722524590. Its totient is φ = 134141952.

The previous prime is 313000981. The next prime is 313001027. The reversal of 313001024 is 420100313.

It can be written as a sum of positive squares in only one way, i.e., 220225600 + 92775424 = 14840^2 + 9632^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (313001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46769 + ... + 53040.

Almost surely, 2313001024 is an apocalyptic number.

It is an amenable number.

313001024 is an abundant number, since it is smaller than the sum of its proper divisors (409523566).

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

313001024 is an equidigital number, since it uses as much as digits as its factorization.

313001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99835 (or 99818 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 313001024 is about 17691.8349528815. The cubic root of 313001024 is about 678.9668740703.

Adding to 313001024 its reverse (420100313), we get a palindrome (733101337).

The spelling of 313001024 in words is "three hundred thirteen million, one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 99809 199618 399236 698663 798472 1397326 1596944 2794652 3193888 4890641 5589304 6387776 9781282 11178608 19562564 22357216 39125128 44714432 78250256 156500512 313001024