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34704683640 = 233251161143669
BaseRepresentation
bin100000010100100011…
…110111001001111000
310022120121222121001100
4200110203313021320
51032033344334030
623535413451400
72336004641454
oct402443671170
9108517877040
1034704683640
1113799986530
126886640b60
133370ca5983
1419731d5664
15d81b99360
hex8148f7278

34704683640 has 192 divisors, whose sum is σ = 125061861600. Its totient is φ = 8275276800.

The previous prime is 34704683639. The next prime is 34704683669. The reversal of 34704683640 is 4638640743.

34704683640 is a `hidden beast` number, since 3 + 470 + 46 + 83 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169726 + ... + 313394.

Almost surely, 234704683640 is an apocalyptic number.

34704683640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34704683640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62530930800).

34704683640 is an abundant number, since it is smaller than the sum of its proper divisors (90357177960).

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

34704683640 is a wasteful number, since it uses less digits than its factorization.

34704683640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143758 (or 143751 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 34704683640 in words is "thirty-four billion, seven hundred four million, six hundred eighty-three thousand, six hundred forty".