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704676336 = 243713295563
BaseRepresentation
bin101010000000001…
…000000111110000
31211002222021012120
4222000020013300
52420344120321
6153531354240
723314435650
oct5200100760
91732867176
10704676336
11331853841
12177bb2980
13b2cb8a60
1469834360
1541ce7ec6
hex2a0081f0

704676336 has 160 divisors (see below), whose sum is σ = 2318184960. Its totient is φ = 179407872.

The previous prime is 704676253. The next prime is 704676403. The reversal of 704676336 is 633676407.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123891 + ... + 129453.

It is an arithmetic number, because the mean of its divisors is an integer number (14488656).

Almost surely, 2704676336 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 704676336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159092480).

704676336 is an abundant number, since it is smaller than the sum of its proper divisors (1613508624).

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

704676336 is a wasteful number, since it uses less digits than its factorization.

704676336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 704676336 is about 26545.7404492698. The cubic root of 704676336 is about 889.8768234193.

The spelling of 704676336 in words is "seven hundred four million, six hundred seventy-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 464 546 609 624 696 728 754 812 1092 1131 1218 1392 1456 1508 1624 2184 2262 2436 2639 3016 3248 4368 4524 4872 5278 5563 6032 7917 9048 9744 10556 11126 15834 16689 18096 21112 22252 31668 33378 38941 42224 44504 63336 66756 72319 77882 89008 116823 126672 133512 144638 155764 161327 216957 233646 267024 289276 311528 322654 433914 467292 483981 506233 578552 623056 645308 867828 934584 967962 1012466 1129289 1157104 1290616 1518699 1735656 1869168 1935924 2024932 2097251 2258578 2581232 3037398 3387867 3471312 3871848 4049864 4194502 4517156 6074796 6291753 6775734 7743696 8099728 8389004 9034312 12149592 12583506 13551468 14680757 16778008 18068624 24299184 25167012 27102936 29361514 33556016 44042271 50334024 54205872 58723028 88084542 100668048 117446056 176169084 234892112 352338168 704676336