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674463104 = 2772512999
BaseRepresentation
bin101000001100110…
…111110110000000
31202000010021102222
4220030313312000
52340130304404
6150532030212
722466561510
oct5014676600
91660107388
10674463104
11316798127
12169a62368
13a996a9c3
146580b840
153e32adbe
hex28337d80

674463104 has 64 divisors (see below), whose sum is σ = 1542240000. Its totient is φ = 287808000.

The previous prime is 674463103. The next prime is 674463131. The reversal of 674463104 is 401364476.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674463103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223397 + ... + 226395.

It is an arithmetic number, because the mean of its divisors is an integer number (24097500).

Almost surely, 2674463104 is an apocalyptic number.

674463104 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 674463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120000).

674463104 is an abundant number, since it is smaller than the sum of its proper divisors (867776896).

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

674463104 is a wasteful number, since it uses less digits than its factorization.

674463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 674463104 is about 25970.4274897430. The cubic root of 674463104 is about 876.9726829685.

The spelling of 674463104 in words is "six hundred seventy-four million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 251 448 502 896 1004 1757 2008 2999 3514 4016 5998 7028 8032 11996 14056 16064 20993 23992 28112 32128 41986 47984 56224 83972 95968 112448 167944 191936 224896 335888 383872 671776 752749 1343552 1505498 2687104 3010996 5269243 6021992 10538486 12043984 21076972 24087968 42153944 48175936 84307888 96351872 168615776 337231552 674463104