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989340408 = 233279292113
BaseRepresentation
bin111010111110000…
…010001011111000
32112221121200220100
4322332002023320
54011232343113
6242100555400
733342153240
oct7276021370
92487550810
10989340408
11468503101
122373b2b60
13129c77334
1495574b20
155bcc7d73
hex3af822f8

989340408 has 96 divisors (see below), whose sum is σ = 3066991200. Its totient is φ = 282230784.

The previous prime is 989340397. The next prime is 989340413. The reversal of 989340408 is 804043989.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467160 + ... + 469272.

It is an arithmetic number, because the mean of its divisors is an integer number (31947825).

Almost surely, 2989340408 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 989340408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533495600).

989340408 is an abundant number, since it is smaller than the sum of its proper divisors (2077650792).

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

989340408 is a wasteful number, since it uses less digits than its factorization.

989340408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 989340408 is about 31453.7820937324. The cubic root of 989340408 is about 996.4341021534.

The spelling of 989340408 in words is "nine hundred eighty-nine million, three hundred forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 929 1858 2113 2787 3716 4226 5574 6339 6503 7432 8361 8452 11148 12678 13006 14791 16722 16904 19017 19509 22296 25356 26012 29582 33444 38034 39018 44373 50712 52024 58527 59164 66888 76068 78036 88746 117054 118328 133119 152136 156072 177492 234108 266238 354984 468216 532476 1064952 1962977 3925954 5888931 7851908 11777862 13740839 15703816 17666793 23555724 27481678 35333586 41222517 47111448 54963356 70667172 82445034 109926712 123667551 141334344 164890068 247335102 329780136 494670204 989340408