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349040664 = 2334776949
BaseRepresentation
bin10100110011011…
…111000000011000
3220022210002210000
4110303133000120
51203323300124
654345053000
711435540160
oct2463370030
9808702700
10349040664
1116a02a465
1298a87160
135740b64b
14344db5a0
15209996c9
hex14cdf018

349040664 has 80 divisors (see below), whose sum is σ = 1117314000. Its totient is φ = 99724608.

The previous prime is 349040633. The next prime is 349040689. The reversal of 349040664 is 466040943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 33939 + ... + 43010.

It is an arithmetic number, because the mean of its divisors is an integer number (13966425).

Almost surely, 2349040664 is an apocalyptic number.

It is an amenable number.

349040664 is an abundant number, since it is smaller than the sum of its proper divisors (768273336).

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

349040664 is a wasteful number, since it uses less digits than its factorization.

349040664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76974 (or 76961 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 349040664 is about 18682.6300075766. The cubic root of 349040664 is about 704.0854052293.

The spelling of 349040664 in words is "three hundred forty-nine million, forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 76949 153898 230847 307796 461694 538643 615592 692541 923388 1077286 1385082 1615929 1846776 2077623 2154572 2770164 3231858 4155246 4309144 4847787 5540328 6232869 6463716 8310492 9695574 12465738 12927432 14543361 16620984 19391148 24931476 29086722 38782296 43630083 49862952 58173444 87260166 116346888 174520332 349040664