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1399382328 = 233371997919
BaseRepresentation
bin101001101101000…
…1110000100111000
310121112011222200010
41103122032010320
510331220213303
6350505341520
746451360601
oct12332160470
93545158603
101399382328
11658a07723
123307978a0
13193bc35a6
14d3bd0da8
1582cc1c03
hex5368e138

1399382328 has 64 divisors (see below), whose sum is σ = 3611520000. Its totient is φ = 451516032.

The previous prime is 1399382323. The next prime is 1399382329. The reversal of 1399382328 is 8232839931.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399382323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172753 + ... + 180671.

It is an arithmetic number, because the mean of its divisors is an integer number (56430000).

Almost surely, 21399382328 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 1399382328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805760000).

1399382328 is an abundant number, since it is smaller than the sum of its proper divisors (2212137672).

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

1399382328 is a wasteful number, since it uses less digits than its factorization.

1399382328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8160 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 1399382328 is about 37408.3189678446. The cubic root of 1399382328 is about 1118.5243981575.

The spelling of 1399382328 in words is "one billion, three hundred ninety-nine million, three hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 199 222 296 398 444 597 796 888 1194 1592 2388 4776 7363 7919 14726 15838 22089 23757 29452 31676 44178 47514 58904 63352 88356 95028 176712 190056 293003 586006 879009 1172012 1575881 1758018 2344024 3151762 3516036 4727643 6303524 7032072 9455286 12607048 18910572 37821144 58307597 116615194 174922791 233230388 349845582 466460776 699691164 1399382328