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3400407367368 = 2331119336663389
BaseRepresentation
bin110001011110111000000…
…100101011111011001000
3110001002001020101001102020
4301132320010223323020
5421203013241223433
611122043043004440
7500446156503054
oct61367004537310
913032036331366
103400407367368
1110a1117346220
1246b031669720
131b887068c00b
14ba81b21ac64
155d6bbca8cb3
hex317b812bec8

3400407367368 has 64 divisors (see below), whose sum is σ = 9278637307200. Its totient is φ = 1029893249280.

The previous prime is 3400407367307. The next prime is 3400407367373. The reversal of 3400407367368 is 8637637040043.

It is a happy number.

3400407367368 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 2×34004073673682 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3400407367368.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821383 + ... + 3842006.

It is an arithmetic number, because the mean of its divisors is an integer number (144978707925).

Almost surely, 23400407367368 is an apocalyptic number.

It is an amenable number.

3400407367368 is an abundant number, since it is smaller than the sum of its proper divisors (5878229939832).

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

3400407367368 is a wasteful number, since it uses less digits than its factorization.

3400407367368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665342 (or 6665338 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 3400407367368 in words is "three trillion, four hundred billion, four hundred seven million, three hundred sixty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1933 3866 5799 7732 11598 15464 21263 23196 42526 46392 63789 85052 127578 170104 255156 510312 6663389 13326778 19990167 26653556 39980334 53307112 73297279 79960668 146594558 159921336 219891837 293189116 439783674 586378232 879567348 1759134696 12880330937 25760661874 38640992811 51521323748 77281985622 103042647496 141683640307 154563971244 283367280614 309127942488 425050920921 566734561228 850101841842 1133469122456 1700203683684 3400407367368