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706368396 = 2231943109661
BaseRepresentation
bin101010000110100…
…101001110001100
31211020011020021110
4222012211032030
52421312242041
6154031532020
723335014036
oct5206451614
91736136243
10706368396
113327aa038
1217868a010
13b345bc86
1469b54c56
154202e516
hex2a1a538c

706368396 has 96 divisors (see below), whose sum is σ = 1794284800. Its totient is φ = 215550720.

The previous prime is 706368379. The next prime is 706368401. The reversal of 706368396 is 693863607.

It is a happy number.

It is a super-2 number, since 2×7063683962 = 997912621735225632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068306 + ... + 1068966.

Almost surely, 2706368396 is an apocalyptic number.

706368396 is a gapful number since it is divisible by the number (76) 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 706368396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897142400).

706368396 is an abundant number, since it is smaller than the sum of its proper divisors (1087916404).

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

706368396 is a wasteful number, since it uses less digits than its factorization.

706368396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 706368396 is about 26577.5919902462. The cubic root of 706368396 is about 890.5885077913.

The spelling of 706368396 in words is "seven hundred six million, three hundred sixty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 109 114 129 172 218 228 258 327 436 516 654 661 817 1308 1322 1634 1983 2071 2451 2644 3268 3966 4142 4687 4902 6213 7932 8284 9374 9804 12426 12559 14061 18748 24852 25118 28122 28423 37677 50236 56244 56846 72049 75354 85269 89053 113692 144098 150708 170538 178106 216147 267159 288196 341076 356212 432294 534318 540037 864588 1068636 1080074 1368931 1620111 2160148 2737862 3098107 3240222 4106793 5475724 6196214 6480444 8213586 9294321 12392428 16427172 18588642 37177284 58864033 117728066 176592099 235456132 353184198 706368396