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677560368 = 243191037213
BaseRepresentation
bin101000011000101…
…100000000110000
31202012221122002110
4220120230000300
52341423412433
6151122245320
722535111442
oct5030540060
91665848073
10677560368
11318513151
1216aab6840
13aa4b36c4
1465db6492
153e73d963
hex2862c030

677560368 has 80 divisors (see below), whose sum is σ = 1860634880. Its totient is φ = 211859712.

The previous prime is 677560363. The next prime is 677560369. The reversal of 677560368 is 863065776.

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 (677560363) 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, 90330 + ... + 97542.

It is an arithmetic number, because the mean of its divisors is an integer number (23257936).

Almost surely, 2677560368 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 677560368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930317440).

677560368 is an abundant number, since it is smaller than the sum of its proper divisors (1183074512).

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

677560368 is a wasteful number, since it uses less digits than its factorization.

677560368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 677560368 is about 26029.9897810199. The cubic root of 677560368 is about 878.3130422776.

The spelling of 677560368 in words is "six hundred seventy-seven million, five hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 103 114 152 206 228 304 309 412 456 618 824 912 1236 1648 1957 2472 3914 4944 5871 7213 7828 11742 14426 15656 21639 23484 28852 31312 43278 46968 57704 86556 93936 115408 137047 173112 274094 346224 411141 548188 742939 822282 1096376 1485878 1644564 2192752 2228817 2971756 3289128 4457634 5943512 6578256 8915268 11887024 14115841 17830536 28231682 35661072 42347523 56463364 84695046 112926728 169390092 225853456 338780184 677560368