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349503603408 = 2433809036119
BaseRepresentation
bin1010001011000000000…
…10011100001011010000
31020102010111200122021000
411011200002130023100
521211240410302113
6424320523102000
734152011416611
oct5054002341320
91212114618230
10349503603408
11125250744233
12578a0071900
1326c5baa872b
1412cb7977c08
15915869d373
hex516009c2d0

349503603408 has 40 divisors (see below), whose sum is σ = 1003204788800. Its totient is φ = 116501200992.

The previous prime is 349503603401. The next prime is 349503603413. The reversal of 349503603408 is 804306305943.

349503603408 is a `hidden beast` number, since 3 + 49 + 503 + 60 + 3 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349503603401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404517628 + ... + 404518491.

It is an arithmetic number, because the mean of its divisors is an integer number (25080119720).

Almost surely, 2349503603408 is an apocalyptic number.

It is an amenable number.

349503603408 is an abundant number, since it is smaller than the sum of its proper divisors (653701185392).

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

349503603408 is a wasteful number, since it uses less digits than its factorization.

349503603408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809036136 (or 809036124 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 349503603408 in words is "three hundred forty-nine billion, five hundred three million, six hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 809036119 1618072238 2427108357 3236144476 4854216714 6472288952 7281325071 9708433428 12944577904 14562650142 19416866856 21843975213 29125300284 38833733712 43687950426 58250600568 87375900852 116501201136 174751801704 349503603408