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3344411106774 = 2321492714601417
BaseRepresentation
bin110000101010101110011…
…011111001110111010110
3102211201111202112021121200
4300222232123321313112
5414243323220404044
611040222400453330
7463424424235023
oct60525633716726
912751452467550
103344411106774
11107a3a1976901
1246020461a246
131b34b85625ca
14b7c283b254a
155bee0cb9369
hex30aae6f9dd6

3344411106774 has 48 divisors (see below), whose sum is σ = 7321776321600. Its totient is φ = 1103235500160.

The previous prime is 3344411106739. The next prime is 3344411106791. The reversal of 3344411106774 is 4776011144433.

It is a happy number.

3344411106774 is a `hidden beast` number, since 3 + 34 + 441 + 1 + 106 + 7 + 74 = 666.

It is a super-2 number, since 2×33444111067742 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1573887 + ... + 3027530.

It is an arithmetic number, because the mean of its divisors is an integer number (152537006700).

Almost surely, 23344411106774 is an apocalyptic number.

3344411106774 is an abundant number, since it is smaller than the sum of its proper divisors (3977365214826).

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

3344411106774 is a wasteful number, since it uses less digits than its factorization.

3344411106774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601845 (or 4601842 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 3344411106774 in words is "three trillion, three hundred forty-four billion, four hundred eleven million, one hundred six thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 149 271 298 447 542 813 894 1341 1626 2439 2682 4878 40379 80758 121137 242274 363411 726822 4601417 9202834 13804251 27608502 41412753 82825506 685611133 1246984007 1371222266 2056833399 2493968014 3740952021 4113666798 6170500197 7481904042 11222856063 12341000394 22445712126 185800617043 371601234086 557401851129 1114803702258 1672205553387 3344411106774