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670636368 = 243329199269
BaseRepresentation
bin100111111110010…
…001100101010000
31201201220212011000
4213332101211100
52333140330433
6150314022000
722422213033
oct4776214520
91651825130
10670636368
11314614036
12168717900
13a8c2ac6c
14650d301a
153dd22113
hex27f91950

670636368 has 160 divisors (see below), whose sum is σ = 2008800000. Its totient is φ = 213954048.

The previous prime is 670636363. The next prime is 670636381. The reversal of 670636368 is 863636076.

670636368 is a `hidden beast` number, since 6 + 7 + 0 + 6 + 3 + 636 + 8 = 666.

670636368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670636363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2492938 + ... + 2493206.

It is an arithmetic number, because the mean of its divisors is an integer number (12555000).

Almost surely, 2670636368 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 670636368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400000).

670636368 is an abundant number, since it is smaller than the sum of its proper divisors (1338163632).

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

670636368 is a wasteful number, since it uses less digits than its factorization.

670636368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 670636368 is about 25896.6478139546. The cubic root of 670636368 is about 875.3109612585.

The spelling of 670636368 in words is "six hundred seventy million, six hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 199 216 232 261 269 348 398 432 464 522 538 597 696 783 796 807 1044 1076 1194 1392 1566 1592 1614 1791 2088 2152 2388 2421 3132 3184 3228 3582 4176 4304 4776 4842 5373 5771 6264 6456 7164 7263 7801 9552 9684 10746 11542 12528 12912 14328 14526 15602 17313 19368 21492 23084 23403 28656 29052 31204 34626 38736 42984 46168 46806 51939 53531 58104 62408 69252 70209 85968 92336 93612 103878 107062 116208 124816 138504 140418 155817 160593 187224 207756 210627 214124 277008 280836 311634 321186 374448 415512 421254 428248 481779 561672 623268 642372 831024 842508 856496 963558 1123344 1246536 1284744 1445337 1552399 1685016 1927116 2493072 2569488 2890674 3104798 3370032 3854232 4657197 5781348 6209596 7708464 9314394 11562696 12419192 13971591 18628788 23125392 24838384 27943182 37257576 41914773 55886364 74515152 83829546 111772728 167659092 223545456 335318184 670636368