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339928974000 = 243453721117229
BaseRepresentation
bin1001111001001010101…
…10001000001010110000
31012111102020100001220000
410330211112020022300
521032133304132000
6420054453350000
733362520414300
oct4744526101260
91174366301800
10339928974000
11121188053470
1255a69638300
1326094273645
141264a101600
158c97d16000
hex4f255882b0

339928974000 has 2400 divisors, whose sum is σ = 1657021354560. Its totient is φ = 66189312000.

The previous prime is 339928973941. The next prime is 339928974013. The reversal of 339928974000 is 479829933.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1484405886 + ... + 1484406114.

Almost surely, 2339928974000 is an apocalyptic number.

339928974000 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 339928974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828510677280).

339928974000 is an abundant number, since it is smaller than the sum of its proper divisors (1317092380560).

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

339928974000 is a wasteful number, since it uses less digits than its factorization.

339928974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 339928974000 in words is "three hundred thirty-nine billion, nine hundred twenty-eight million, nine hundred seventy-four thousand".