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34938660040 = 2354121304061
BaseRepresentation
bin100000100010100000…
…011010010011001000
310100011221020211022221
4200202200122103020
51033023244110130
624014532423424
72344545465424
oct404240322310
9110157224287
1034938660040
11138a9a65459
126930a77b74
1333aa5c7b4b
1419962ddb84
15d974b587a
hex82281a4c8

34938660040 has 32 divisors (see below), whose sum is σ = 80529354360. Its totient is φ = 13634598400.

The previous prime is 34938660037. The next prime is 34938660067. The reversal of 34938660040 is 4006683943.

It can be written as a sum of positive squares in 4 ways, for example, as 7364729124 + 27573930916 = 85818^2 + 166054^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10650391 + ... + 10653670.

Almost surely, 234938660040 is an apocalyptic number.

It is an amenable number.

34938660040 is an abundant number, since it is smaller than the sum of its proper divisors (45590694320).

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

34938660040 is a wasteful number, since it uses less digits than its factorization.

34938660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21304113 (or 21304109 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 34938660040 in words is "thirty-four billion, nine hundred thirty-eight million, six hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 21304061 42608122 85216244 106520305 170432488 213040610 426081220 852162440 873466501 1746933002 3493866004 4367332505 6987732008 8734665010 17469330020 34938660040