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706883328 = 2833313299
BaseRepresentation
bin101010001000100…
…010111100000000
31211021010101122000
4222020202330000
52421430231303
6154050544000
723342260224
oct5210427400
91737111560
10706883328
113330209a8
12178898000
13b35ac478
1469c4a784
15420d1da3
hex2a222f00

706883328 has 144 divisors (see below), whose sum is σ = 2158464000. Its totient is φ = 227957760.

The previous prime is 706883327. The next prime is 706883347. The reversal of 706883328 is 823388607.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706883327) 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, 212623 + ... + 215921.

Almost surely, 2706883328 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 706883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079232000).

706883328 is an abundant number, since it is smaller than the sum of its proper divisors (1451580672).

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

706883328 is a wasteful number, since it uses less digits than its factorization.

706883328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 706883328 is about 26587.2775590131. The cubic root of 706883328 is about 890.8048637955.

The spelling of 706883328 in words is "seven hundred six million, eight hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3299 3348 3456 3968 4464 5952 6598 6696 6912 7936 8928 9897 11904 13196 13392 17856 19794 23808 26392 26784 29691 35712 39588 52784 53568 59382 71424 79176 89073 102269 105568 107136 118764 158352 178146 204538 211136 214272 237528 306807 316704 356292 409076 422272 475056 613614 633408 712584 818152 844544 920421 950112 1227228 1266816 1425168 1636304 1840842 1900224 2454456 2533632 2761263 2850336 3272608 3681684 3800448 4908912 5522526 5700672 6545216 7363368 7600896 9817824 11045052 11401344 13090432 14726736 19635648 22090104 22802688 26180864 29453472 39271296 44180208 58906944 78542592 88360416 117813888 176720832 235627776 353441664 706883328