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311406510034 = 21782911048269
BaseRepresentation
bin1001000100000010100…
…01100011111111010010
31002202210110021202220201
410202001101203333102
520100230031310114
6355020322125414
731332641442544
oct4420121437722
91082713252821
10311406510034
111100809470a4
12504294b086a
132349a036a29
1411101dcd694
158178c9a874
hex4881463fd2

311406510034 has 16 divisors (see below), whose sum is σ = 495183461400. Its totient is φ = 146367454464.

The previous prime is 311406510011. The next prime is 311406510049. The reversal of 311406510034 is 430015604113.

It can be written as a sum of positive squares in 4 ways, for example, as 298658971009 + 12747539025 = 546497^2 + 112905^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311406509984 and 311406510011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5495949 + ... + 5552320.

Almost surely, 2311406510034 is an apocalyptic number.

311406510034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

311406510034 is a deficient number, since it is larger than the sum of its proper divisors (183776951366).

311406510034 is a wasteful number, since it uses less digits than its factorization.

311406510034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049117.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 311406510034 in words is "three hundred eleven billion, four hundred six million, five hundred ten thousand, thirty-four".

Divisors: 1 2 17 34 829 1658 14093 28186 11048269 22096538 187820573 375641146 9159015001 18318030002 155703255017 311406510034