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677666352 = 243117511709
BaseRepresentation
bin101000011001000…
…101111000110000
31202020011000110210
4220121011320300
52341440310402
6151124424120
722536032436
oct5031057060
91666130423
10677666352
11318585840
1216ab48040
13aa51ca0c
1466002d56
153e76006c
hex28645e30

677666352 has 80 divisors (see below), whose sum is σ = 1913448960. Its totient is φ = 204960000.

The previous prime is 677666329. The next prime is 677666357. The reversal of 677666352 is 253666776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (677666357) 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, 395674 + ... + 397382.

It is an arithmetic number, because the mean of its divisors is an integer number (23918112).

Almost surely, 2677666352 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 677666352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956724480).

677666352 is an abundant number, since it is smaller than the sum of its proper divisors (1235782608).

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

677666352 is a wasteful number, since it uses less digits than its factorization.

677666352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 48.

The square root of 677666352 is about 26032.0255070557. The cubic root of 677666352 is about 878.3588351351.

The spelling of 677666352 in words is "six hundred seventy-seven million, six hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 751 1502 1709 2253 3004 3418 4506 5127 6008 6836 8261 9012 10254 12016 13672 16522 18024 18799 20508 24783 27344 33044 36048 37598 41016 49566 56397 66088 75196 82032 99132 112794 132176 150392 198264 225588 300784 396528 451176 902352 1283459 2566918 3850377 5133836 7700754 10267672 14118049 15401508 20535344 28236098 30803016 42354147 56472196 61606032 84708294 112944392 169416588 225888784 338833176 677666352