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339093468728 = 2373293741532
BaseRepresentation
bin1001110111100111000…
…10111011011000111000
31012102021000012000010022
410323303202323120320
521023430411444403
6415435525510012
733333023633000
oct4736342733070
91172230160108
10339093468728
11120899471a43
1255875872308
1325c9013ba21
14125ab173000
158c497c8d38
hex4ef38bb638

339093468728 has 384 divisors, whose sum is σ = 822482640000. Its totient is φ = 130679377920.

The previous prime is 339093468709. The next prime is 339093468793. The reversal of 339093468728 is 827864390933.

It is a super-2 number, since 2×3390934687282 (a number of 24 digits) contains 22 as substring.

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, 6397989950 + ... + 6397990002.

It is an arithmetic number, because the mean of its divisors is an integer number (2141881875).

Almost surely, 2339093468728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339093468728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411241320000).

339093468728 is an abundant number, since it is smaller than the sum of its proper divisors (483389171272).

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

339093468728 is a wasteful number, since it uses less digits than its factorization.

339093468728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 62.

The spelling of 339093468728 in words is "three hundred thirty-nine billion, ninety-three million, four hundred sixty-eight thousand, seven hundred twenty-eight".