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678878144 = 2672713049
BaseRepresentation
bin101000011101101…
…101101111000000
31202022102120201222
4220131231233000
52342243100034
6151210414212
722552240400
oct5035555700
91668376658
10678878144
1131923321a
1216b431368
13aa855459
146623a800
153e8ee12e
hex2876dbc0

678878144 has 84 divisors (see below), whose sum is σ = 1589684400. Its totient is φ = 286755840.

The previous prime is 678878141. The next prime is 678878147. The reversal of 678878144 is 441878876.

678878144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (678878141) and next prime (678878147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678878141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221132 + ... + 224180.

Almost surely, 2678878144 is an apocalyptic number.

678878144 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 678878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794842200).

678878144 is an abundant number, since it is smaller than the sum of its proper divisors (910806256).

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

678878144 is a wasteful number, since it uses less digits than its factorization.

678878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3129 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 53.

The square root of 678878144 is about 26055.2901346348. The cubic root of 678878144 is about 878.8820790567.

The spelling of 678878144 in words is "six hundred seventy-eight million, eight hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 142 196 224 284 392 448 497 568 784 994 1136 1568 1988 2272 3049 3136 3479 3976 4544 6098 6958 7952 12196 13916 15904 21343 24392 27832 31808 42686 48784 55664 85372 97568 111328 149401 170744 195136 216479 222656 298802 341488 432958 597604 682976 865916 1195208 1365952 1515353 1731832 2390416 3030706 3463664 4780832 6061412 6927328 9561664 10607471 12122824 13854656 21214942 24245648 42429884 48491296 84859768 96982592 169719536 339439072 678878144