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34487406414 = 2324146730903
BaseRepresentation
bin100000000111100111…
…000000111101001110
310022000111010202201200
4200013213000331032
51031112234001124
623502052450330
72330426055246
oct400747007516
9108014122650
1034487406414
111369827297a
1268259199a6
133337c7c676
1419523d6b26
15d6ca7abc9
hex8079c0f4e

34487406414 has 24 divisors (see below), whose sum is σ = 76545220752. Its totient is φ = 11215416480.

The previous prime is 34487406397. The next prime is 34487406427. The reversal of 34487406414 is 41460478443.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34487406414.

It is a congruent number.

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, 23364714 + ... + 23366189.

It is an arithmetic number, because the mean of its divisors is an integer number (3189384198).

Almost surely, 234487406414 is an apocalyptic number.

34487406414 is an abundant number, since it is smaller than the sum of its proper divisors (42057814338).

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

34487406414 is a wasteful number, since it uses less digits than its factorization.

34487406414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46730952 (or 46730949 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 34487406414 in words is "thirty-four billion, four hundred eighty-seven million, four hundred six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 46730903 93461806 140192709 280385418 420578127 841156254 1915967023 3831934046 5747901069 11495802138 17243703207 34487406414