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674864838 = 233194161263
BaseRepresentation
bin101000001110011…
…001111011000110
31202000212200112000
4220032121323012
52340231133323
6150544410130
722503153654
oct5016317306
91660780460
10674864838
11316a41a3a
1216a016946
13a9a7b80b
14658b3dd4
153e3a9e43
hex28399ec6

674864838 has 128 divisors (see below), whose sum is σ = 1649894400. Its totient is φ = 203731200.

The previous prime is 674864831. The next prime is 674864851. The reversal of 674864838 is 838468476.

674864838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674864831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2565895 + ... + 2566157.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2674864838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674864838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

674864838 is an abundant number, since it is smaller than the sum of its proper divisors (975029562).

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

674864838 is a wasteful number, since it uses less digits than its factorization.

674864838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 674864838 is about 25978.1607894015. The cubic root of 674864838 is about 877.1467670242.

The spelling of 674864838 in words is "six hundred seventy-four million, eight hundred sixty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 61 82 114 122 123 171 183 246 263 342 366 369 513 526 549 738 779 789 1026 1098 1107 1159 1558 1578 1647 2214 2318 2337 2367 2501 3294 3477 4674 4734 4997 5002 6954 7011 7101 7503 9994 10431 10783 14022 14202 14991 15006 16043 20862 21033 21566 22509 29982 31293 32086 32349 42066 44973 45018 47519 48129 62586 64698 67527 89946 95038 96258 97047 134919 135054 142557 144387 194094 204877 269838 285114 288774 291141 304817 409754 427671 433161 582282 609634 614631 657763 855342 866322 914451 1229262 1283013 1315526 1828902 1843893 1973289 2566026 2743353 3687786 3946578 5486706 5531679 5919867 8230059 11063358 11839734 12497497 16460118 17759601 24994994 35519202 37492491 74984982 112477473 224954946 337432419 674864838