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700390368 = 25332927953
BaseRepresentation
bin101001101111110…
…001101111100000
31210210220111222000
4221233301233200
52413244442433
6153255444000
723233135266
oct5157615740
91723814860
10700390368
1132a396717
12176686600
13b2147c92
146903a436
154174d113
hex29bf1be0

700390368 has 96 divisors (see below), whose sum is σ = 2113322400. Its totient is φ = 225404928.

The previous prime is 700390351. The next prime is 700390391. The reversal of 700390368 is 863093007.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11080 + ... + 39032.

It is an arithmetic number, because the mean of its divisors is an integer number (22013775).

Almost surely, 2700390368 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 700390368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056661200).

700390368 is an abundant number, since it is smaller than the sum of its proper divisors (1412932032).

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

700390368 is a wasteful number, since it uses less digits than its factorization.

700390368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28001 (or 27987 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 700390368 is about 26464.8893441858. The cubic root of 700390368 is about 888.0690231227.

The spelling of 700390368 in words is "seven hundred million, three hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 27953 55906 83859 111812 167718 223624 251577 335436 447248 503154 670872 754731 810637 894496 1006308 1341744 1509462 1621274 2012616 2431911 2683488 3018924 3242548 4025232 4863822 6037848 6485096 7295733 8050464 9727644 12075696 12970192 14591466 19455288 21887199 24151392 25940384 29182932 38910576 43774398 58365864 77821152 87548796 116731728 175097592 233463456 350195184 700390368