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3340400704004 = 2271341921901969
BaseRepresentation
bin110000100110111111011…
…001011011101000000100
3102211100011021020201020202
4300212333121123220010
5414212120040012004
611034320415550032
7463223146333460
oct60467731335004
912740137221222
103340400704004
111078724127951
1245b48552b318
131b2cc973ac10
14b79679114a0
155bd58b8bb1e
hex309bf65ba04

3340400704004 has 48 divisors (see below), whose sum is σ = 7211880681600. Its totient is φ = 1318323257856.

The previous prime is 3340400703971. The next prime is 3340400704007. The reversal of 3340400704004 is 4004070040433.

3340400704004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33404007040042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340400704007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10798469 + ... + 11103500.

It is an arithmetic number, because the mean of its divisors is an integer number (150247514200).

Almost surely, 23340400704004 is an apocalyptic number.

It is an amenable number.

3340400704004 is an abundant number, since it is smaller than the sum of its proper divisors (3871479977596).

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

3340400704004 is a wasteful number, since it uses less digits than its factorization.

3340400704004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21902412 (or 21902410 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

Adding to 3340400704004 its reverse (4004070040433), we get a palindrome (7344470744437).

It can be divided in two parts, 3340400 and 704004, that added together give a palindrome (4044404).

The spelling of 3340400704004 in words is "three trillion, three hundred forty billion, four hundred million, seven hundred four thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 419 838 1676 2933 5447 5866 10894 11732 21788 38129 76258 152516 21901969 43803938 87607876 153313783 284725597 306627566 569451194 613255132 1138902388 1993079179 3986158358 7972316716 9176925011 18353850022 36707700044 64238475077 119300025143 128476950154 238600050286 256953900308 477200100572 835100176001 1670200352002 3340400704004