Search a number
-
+
312254540 = 22513292383
BaseRepresentation
bin10010100111001…
…010000001001100
3210202120011200222
4102213022001030
51114414121130
650552410512
710511056043
oct2247120114
9722504628
10312254540
11150294504
12886a6a38
134c8cb900
142d68355a
151c62ece5
hex129ca04c

312254540 has 36 divisors (see below), whose sum is σ = 710063424. Its totient is φ = 115292736.

The previous prime is 312254539. The next prime is 312254557. The reversal of 312254540 is 45452213.

It is a happy number.

It is a super-2 number, since 2×3122545402 = 195005795501223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42812 + ... + 49571.

It is an arithmetic number, because the mean of its divisors is an integer number (19723984).

Almost surely, 2312254540 is an apocalyptic number.

It is an amenable number.

312254540 is an abundant number, since it is smaller than the sum of its proper divisors (397808884).

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

312254540 is a wasteful number, since it uses less digits than its factorization.

312254540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92418 (or 92403 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 312254540 is about 17670.7255085919. The cubic root of 312254540 is about 678.4266826893.

The spelling of 312254540 in words is "three hundred twelve million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 92383 184766 369532 461915 923830 1200979 1847660 2401958 4803916 6004895 12009790 15612727 24019580 31225454 62450908 78063635 156127270 312254540