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312240402 = 23217346689
BaseRepresentation
bin10010100111000…
…110100100010010
3210202112110022100
4102213012210102
51114413143102
650552221230
710510666605
oct2247064422
9722473270
10312240402
11150284921
128869a816
134c8c5346
142d67c33c
151c62aa1c
hex129c6912

312240402 has 12 divisors (see below), whose sum is σ = 676520910. Its totient is φ = 104080128.

The previous prime is 312240347. The next prime is 312240427. The reversal of 312240402 is 204042213.

312240402 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 231617961 + 80622441 = 15219^2 + 8979^2 .

It is a super-2 number, since 2×3122404022 = 194988137282243208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17346689 = 312240402 / (3 + 1 + 2 + 2 + 4 + 0 + 4 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8673327 + ... + 8673362.

Almost surely, 2312240402 is an apocalyptic number.

312240402 is an abundant number, since it is smaller than the sum of its proper divisors (364280508).

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

312240402 is a wasteful number, since it uses less digits than its factorization.

312240402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17346697 (or 17346694 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 312240402 is about 17670.3254638957. The cubic root of 312240402 is about 678.4164434561.

Adding to 312240402 its reverse (204042213), we get a palindrome (516282615).

The spelling of 312240402 in words is "three hundred twelve million, two hundred forty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 17346689 34693378 52040067 104080134 156120201 312240402