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349131099768 = 233111322466287
BaseRepresentation
bin1010001010010011101…
…01011100111001111000
31020101011112202111022220
411011021311130321320
521210010030143033
6424215535044040
734136536245303
oct5051165347170
91211145674286
10349131099768
1112507a449790
12577b7370620
1326bcc873689
1412c802cdb3a
159135b1bbb3
hex5149d5ce78

349131099768 has 32 divisors (see below), whose sum is σ = 952175727360. Its totient is φ = 105797302880.

The previous prime is 349131099767. The next prime is 349131099781. The reversal of 349131099768 is 867990131943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349131099767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661232880 + ... + 661233407.

It is an arithmetic number, because the mean of its divisors is an integer number (29755491480).

Almost surely, 2349131099768 is an apocalyptic number.

It is an amenable number.

349131099768 is an abundant number, since it is smaller than the sum of its proper divisors (603044627592).

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

349131099768 is a wasteful number, since it uses less digits than its factorization.

349131099768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322466307 (or 1322466303 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 349131099768 in words is "three hundred forty-nine billion, one hundred thirty-one million, ninety-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1322466287 2644932574 3967398861 5289865148 7934797722 10579730296 14547129157 15869595444 29094258314 31739190888 43641387471 58188516628 87282774942 116377033256 174565549884 349131099768