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339927697368 = 2332717374126153
BaseRepresentation
bin1001111001001010100…
…01010000011111011000
31012111102010221012200100
410330211101100133120
521032132442303433
6420054410135400
733362503516320
oct4744521203730
91174363835610
10339927697368
111211873612a6
1255a69121560
1326093c1753c
1412649c8c280
158c97b62b13
hex4f254507d8

339927697368 has 384 divisors, whose sum is σ = 1172109294720. Its totient is φ = 86766059520.

The previous prime is 339927697339. The next prime is 339927697387. The reversal of 339927697368 is 863796729933.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 339927697296 and 339927697305.

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, 12984580 + ... + 13010732.

It is an arithmetic number, because the mean of its divisors is an integer number (3052367955).

Almost surely, 2339927697368 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 339927697368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586054647360).

339927697368 is an abundant number, since it is smaller than the sum of its proper divisors (832181597352).

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

339927697368 is a wasteful number, since it uses less digits than its factorization.

339927697368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26267 (or 26260 counting only the distinct ones).

The product of its digits is 555532992, while the sum is 72.

The spelling of 339927697368 in words is "three hundred thirty-nine billion, nine hundred twenty-seven million, six hundred ninety-seven thousand, three hundred sixty-eight".