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315311049 = 3419732
BaseRepresentation
bin10010110010110…
…100001111001001
3210222022110110000
4102302310033021
51121204423144
651142113213
710546046124
oct2262641711
9728273400
10315311049
11151a91949
128971b809
135042bbb1
142dc3b3bb
151ca35769
hex12cb43c9

315311049 has 15 divisors (see below), whose sum is σ = 471259063. Its totient is φ = 210100824.

The previous prime is 315311047. The next prime is 315311081. The reversal of 315311049 is 940113513.

The square root of 315311049 is 17757.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67815225 + 247495824 = 8235^2 + 15732^2 .

It is not a de Polignac number, because 315311049 - 21 = 315311047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (315311047) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 158827 + ... + 160799.

Almost surely, 2315311049 is an apocalyptic number.

315311049 is the 17757-th square number.

315311049 is the 8879-th centered octagonal number.

It is an amenable number.

315311049 is a deficient number, since it is larger than the sum of its proper divisors (155948014).

315311049 is an frugal number, since it uses more digits than its factorization.

315311049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 315311049 is about 680.6330962314.

It can be divided in two parts, 315 and 311049, that added together give a square (311364 = 5582).

The spelling of 315311049 in words is "three hundred fifteen million, three hundred eleven thousand, forty-nine".

Divisors: 1 3 9 27 81 1973 5919 17757 53271 159813 3892729 11678187 35034561 105103683 315311049