Search a number
-
+
678968064 = 2832614831
BaseRepresentation
bin101000011110000…
…011101100000000
31202022121011002100
4220132003230000
52342303434224
6151212350400
722553063505
oct5036035400
91668534070
10678968064
11319294835
1216b475400
13aa887368
14662614ac
153e91aac9
hex28783b00

678968064 has 108 divisors (see below), whose sum is σ = 1990136512. Its totient is φ = 222566400.

The previous prime is 678968033. The next prime is 678968089. The reversal of 678968064 is 460869876.

It is a self number, because there is not a number n which added to its sum of digits gives 678968064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138129 + ... + 142959.

Almost surely, 2678968064 is an apocalyptic number.

678968064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995068256).

678968064 is an abundant number, since it is smaller than the sum of its proper divisors (1311168448).

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

678968064 is a wasteful number, since it uses less digits than its factorization.

678968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 678968064 is about 26057.0156387872. The cubic root of 678968064 is about 878.9208811049.

The spelling of 678968064 in words is "six hundred seventy-eight million, nine hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 549 576 732 768 976 1098 1152 1464 1952 2196 2304 2928 3904 4392 4831 5856 7808 8784 9662 11712 14493 15616 17568 19324 23424 28986 35136 38648 43479 46848 57972 70272 77296 86958 115944 140544 154592 173916 231888 294691 309184 347832 463776 589382 618368 695664 884073 927552 1178764 1236736 1391328 1768146 1855104 2357528 2652219 2782656 3536292 3710208 4715056 5304438 5565312 7072584 9430112 10608876 11130624 14145168 18860224 21217752 28290336 37720448 42435504 56580672 75440896 84871008 113161344 169742016 226322688 339484032 678968064