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354242405616 = 243111076270221
BaseRepresentation
bin1010010011110100111…
…11100010010011110000
31020212100202120201210220
411021322133202103300
521300442023434431
6430423044053040
734410312523521
oct5117237422360
91225322521726
10354242405616
1112726266a4a0
12587a3094180
13275357a3ac8
1413207086848
15933470cb96
hex527a7e24f0

354242405616 has 80 divisors (see below), whose sum is σ = 1007649756288. Its totient is φ = 106342931200.

The previous prime is 354242405549. The next prime is 354242405623. The reversal of 354242405616 is 616504242453.

It is a happy number.

354242405616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542424056163 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 3078615 + ... + 3191606.

Almost surely, 2354242405616 is an apocalyptic number.

It is an amenable number.

354242405616 is an abundant number, since it is smaller than the sum of its proper divisors (653407350672).

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

354242405616 is a wasteful number, since it uses less digits than its factorization.

354242405616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6270350 (or 6270344 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 354242405616 in words is "three hundred fifty-four billion, two hundred forty-two million, four hundred five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1712 2354 2568 3531 4708 5136 7062 9416 14124 18832 28248 56496 6270221 12540442 18810663 25080884 37621326 50161768 68972431 75242652 100323536 137944862 150485304 206917293 275889724 300970608 413834586 551779448 670913647 827669172 1103558896 1341827294 1655338344 2012740941 2683654588 3310676688 4025481882 5367309176 7380050117 8050963764 10734618352 14760100234 16101927528 22140150351 29520200468 32203855056 44280300702 59040400936 88560601404 118080801872 177121202808 354242405616