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315454240 = 2551971589
BaseRepresentation
bin10010110011010…
…111001100100000
3210222120201212101
4102303113030200
51121224013430
651145140144
710550213443
oct2263271440
9728521771
10315454240
1115207a492
128978a654
135047c11a
142dc7765a
151ca62dca
hex12cd7320

315454240 has 24 divisors (see below), whose sum is σ = 745261020. Its totient is φ = 126181632.

The previous prime is 315454213. The next prime is 315454247. The reversal of 315454240 is 42454513.

It can be written as a sum of positive squares in 2 ways, for example, as 307090576 + 8363664 = 17524^2 + 2892^2 .

It is a super-2 number, since 2×3154542402 = 199022755067955200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315454199 and 315454208.

It is not an unprimeable number, because it can be changed into a prime (315454247) 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 3 ways as a sum of consecutive naturals, for example, 985635 + ... + 985954.

Almost surely, 2315454240 is an apocalyptic number.

It is an amenable number.

315454240 is an abundant number, since it is smaller than the sum of its proper divisors (429806780).

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

315454240 is a wasteful number, since it uses less digits than its factorization.

315454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971604 (or 1971596 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 315454240 is about 17761.0315015767. The cubic root of 315454240 is about 680.7361117400.

The spelling of 315454240 in words is "three hundred fifteen million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1971589 3943178 7886356 9857945 15772712 19715890 31545424 39431780 63090848 78863560 157727120 315454240