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34083904680 = 23335719237287
BaseRepresentation
bin11111101111100011…
…110001110010101000
310020222100212202102000
4133233203301302220
51024300434422210
623354040211000
72314426260330
oct375743616250
9106870782360
1034083904680
1113500526071
126732769a60
1332a24b3247
1419149a00c0
15d47424ac0
hex7ef8f1ca8

34083904680 has 256 divisors, whose sum is σ = 136677888000. Its totient is φ = 7380543744.

The previous prime is 34083904651. The next prime is 34083904693. The reversal of 34083904680 is 8640938043.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24997 + ... + 262283.

It is an arithmetic number, because the mean of its divisors is an integer number (533898000).

Almost surely, 234083904680 is an apocalyptic number.

34083904680 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 34083904680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68338944000).

34083904680 is an abundant number, since it is smaller than the sum of its proper divisors (102593983320).

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

34083904680 is a wasteful number, since it uses less digits than its factorization.

34083904680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237333 (or 237323 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34083904680 in words is "thirty-four billion, eighty-three million, nine hundred four thousand, six hundred eighty".