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34341073668 = 223211173501271
BaseRepresentation
bin11111111110111000…
…110011001100000100
310021122021210021221100
4133332320303030010
51030312303324133
623435344220100
72324001211206
oct377670631404
9107567707840
1034341073668
1113622705a20
1267a490a630
133313865a45
14193abc4776
15d5ecc2e13
hex7fee33304

34341073668 has 72 divisors (see below), whose sum is σ = 95245690176. Its totient is φ = 10346212800.

The previous prime is 34341073667. The next prime is 34341073751. The reversal of 34341073668 is 86637014343.

It is not an unprimeable number, because it can be changed into a prime (34341073667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182128 + ... + 319143.

It is an arithmetic number, because the mean of its divisors is an integer number (1322856808).

Almost surely, 234341073668 is an apocalyptic number.

It is an amenable number.

34341073668 is an abundant number, since it is smaller than the sum of its proper divisors (60904616508).

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

34341073668 is a wasteful number, since it uses less digits than its factorization.

34341073668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501465 (or 501460 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34341073668 in words is "thirty-four billion, three hundred forty-one million, seventy-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 692 1038 1557 1903 2076 3114 3806 5709 6228 7612 11418 17127 22836 34254 68508 501271 1002542 1503813 2005084 3007626 4511439 5513981 6015252 9022878 11027962 16541943 18045756 22055924 33083886 49625829 66167772 86719883 99251658 173439766 198503316 260159649 346879532 520319298 780478947 953918713 1040638596 1560957894 1907837426 2861756139 3121915788 3815674852 5723512278 8585268417 11447024556 17170536834 34341073668