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34340351364 = 22321186718059
BaseRepresentation
bin11111111110110110…
…000010110110000100
310021122020102121010100
4133332312002312010
51030312112220424
623435320524100
72323662112314
oct377666026604
9107566377110
1034340351364
1113622262280
1267a4620630
133313672047
14193aa77444
15d5ebcddc9
hex7fed82d84

34340351364 has 36 divisors (see below), whose sum is σ = 94696121520. Its totient is φ = 10406166960.

The previous prime is 34340351329. The next prime is 34340351371. The reversal of 34340351364 is 46315304343.

34340351364 is a `hidden beast` number, since 3 + 43 + 40 + 3 + 513 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43358634 + ... + 43359425.

It is an arithmetic number, because the mean of its divisors is an integer number (2630447820).

Almost surely, 234340351364 is an apocalyptic number.

It is an amenable number.

34340351364 is an abundant number, since it is smaller than the sum of its proper divisors (60355770156).

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

34340351364 is a wasteful number, since it uses less digits than its factorization.

34340351364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86718080 (or 86718075 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 34340351364 in words is "thirty-four billion, three hundred forty million, three hundred fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 86718059 173436118 260154177 346872236 520308354 780462531 953898649 1040616708 1560925062 1907797298 2861695947 3121850124 3815594596 5723391894 8585087841 11446783788 17170175682 34340351364