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34440104020 = 2257246000743
BaseRepresentation
bin100000000100110010…
…100100100001010100
310021220012010120001011
4200010302210201110
51031013131312040
623453242542004
72326313024350
oct400462444124
9107805116034
1034440104020
11136735a4993
126811b07904
13332b22a09a
14194a002460
15d688353ea
hex804ca4854

34440104020 has 24 divisors (see below), whose sum is σ = 82656249984. Its totient is φ = 11808035616.

The previous prime is 34440104003. The next prime is 34440104033. The reversal of 34440104020 is 2040104443.

It is a super-2 number, since 2×344401040202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34440103982 and 34440104000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 123000232 + ... + 123000511.

It is an arithmetic number, because the mean of its divisors is an integer number (3444010416).

Almost surely, 234440104020 is an apocalyptic number.

It is an amenable number.

34440104020 is an abundant number, since it is smaller than the sum of its proper divisors (48216145964).

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

34440104020 is a wasteful number, since it uses less digits than its factorization.

34440104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246000759 (or 246000757 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34440104020 its reverse (2040104443), we get a palindrome (36480208463).

The spelling of 34440104020 in words is "thirty-four billion, four hundred forty million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 246000743 492001486 984002972 1230003715 1722005201 2460007430 3444010402 4920014860 6888020804 8610026005 17220052010 34440104020