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678714912 = 253223791297
BaseRepresentation
bin101000011101000…
…101111000100000
31202022010021211100
4220131011320200
52342222334122
6151203114400
722550660451
oct5035057040
91668107740
10678714912
11319131617
1216b372a00
13aa7c9075
14661d7128
153e8baaac
hex28745e20

678714912 has 144 divisors (see below), whose sum is σ = 2041079040. Its totient is φ = 213497856.

The previous prime is 678714877. The next prime is 678714913. The reversal of 678714912 is 219417876.

It is a happy number.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (678714913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522648 + ... + 523944.

It is an arithmetic number, because the mean of its divisors is an integer number (14174160).

Almost surely, 2678714912 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 678714912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020539520).

678714912 is an abundant number, since it is smaller than the sum of its proper divisors (1362364128).

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

678714912 is a wasteful number, since it uses less digits than its factorization.

678714912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1404 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 678714912 is about 26052.1575306154. The cubic root of 678714912 is about 878.8116328455.

The spelling of 678714912 in words is "six hundred seventy-eight million, seven hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 79 92 96 138 144 158 184 207 237 276 288 316 368 414 474 552 632 711 736 828 948 1104 1264 1297 1422 1656 1817 1896 2208 2528 2594 2844 3312 3634 3792 3891 5188 5451 5688 6624 7268 7584 7782 10376 10902 11376 11673 14536 15564 16353 20752 21804 22752 23346 29072 29831 31128 32706 41504 43608 46692 58144 59662 62256 65412 87216 89493 93384 102463 119324 124512 130824 174432 178986 186768 204926 238648 261648 268479 307389 357972 373536 409852 477296 523296 536958 614778 715944 819704 922167 954592 1073916 1229556 1431888 1639408 1844334 2147832 2356649 2459112 2863776 3278816 3688668 4295664 4713298 4918224 7069947 7377336 8591328 9426596 9836448 14139894 14754672 18853192 21209841 28279788 29509344 37706384 42419682 56559576 75412768 84839364 113119152 169678728 226238304 339357456 678714912