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3040680384 = 26357173153
BaseRepresentation
bin1011010100111101…
…0001100111000000
321211220120120100000
42311033101213000
522211403233014
61221420200000
7135231233250
oct26517214700
97756516300
103040680384
1113204261a5
1270a399000
13395c58981
1420bb95960
1512be2c509
hexb53d19c0

3040680384 has 672 divisors, whose sum is σ = 11503005696. Its totient is φ = 776355840.

The previous prime is 3040680373. The next prime is 3040680397. The reversal of 3040680384 is 4830860403.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57371302 + ... + 57371354.

It is an arithmetic number, because the mean of its divisors is an integer number (17117568).

Almost surely, 23040680384 is an apocalyptic number.

3040680384 is a gapful number since it is divisible by the number (34) 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 3040680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751502848).

3040680384 is an abundant number, since it is smaller than the sum of its proper divisors (8462325312).

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

3040680384 is a wasteful number, since it uses less digits than its factorization.

3040680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3040680384 is about 55142.3646935820. The cubic root of 3040680384 is about 1448.7393536038.

The spelling of 3040680384 in words is "three billion, forty million, six hundred eighty thousand, three hundred eighty-four".