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34440311031 = 3719671288307
BaseRepresentation
bin100000000100110011…
…010111000011110111
310021220012112002000020
4200010303113003313
51031013204423111
623453251220223
72326314546030
oct400463270367
9107805462006
1034440311031
1113673726475
126811ba7673
13332b2a0389
14194a057a87
15d68876906
hex804cd70f7

34440311031 has 32 divisors (see below), whose sum is σ = 56067164160. Its totient is φ = 18366090336.

The previous prime is 34440311027. The next prime is 34440311047. The reversal of 34440311031 is 13011304443.

It is not a de Polignac number, because 34440311031 - 22 = 34440311027 is a prime.

It is a super-2 number, since 2×344403110312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34440310992 and 34440311010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440311011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 617421 + ... + 670886.

It is an arithmetic number, because the mean of its divisors is an integer number (1752098880).

Almost surely, 234440311031 is an apocalyptic number.

34440311031 is a deficient number, since it is larger than the sum of its proper divisors (21626853129).

34440311031 is a wasteful number, since it uses less digits than its factorization.

34440311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288403.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34440311031 its reverse (13011304443), we get a palindrome (47451615474).

The spelling of 34440311031 in words is "thirty-four billion, four hundred forty million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 7 19 21 57 67 133 201 399 469 1273 1407 3819 8911 26733 1288307 3864921 9018149 24477833 27054447 73433499 86316569 171344831 258949707 514034493 604215983 1640014811 1812647949 4920044433 11480103677 34440311031