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674464464 = 243215729833
BaseRepresentation
bin101000001100111…
…000001011010000
31202000010100022100
4220030320023100
52340130330324
6150532040400
722466565462
oct5014701320
91660110270
10674464464
11316799153
12169a63100
13a996b4cb
146580c132
153e32b4c9
hex283382d0

674464464 has 60 divisors (see below), whose sum is σ = 1899650116. Its totient is φ = 223382016.

The previous prime is 674464457. The next prime is 674464471. The reversal of 674464464 is 464464476.

It is an interprime number because it is at equal distance from previous prime (674464457) and next prime (674464471).

It can be written as a sum of positive squares in 2 ways, for example, as 241491600 + 432972864 = 15540^2 + 20808^2 .

It is a congruent number.

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, 7692 + ... + 37524.

Almost surely, 2674464464 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 674464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949825058).

674464464 is an abundant number, since it is smaller than the sum of its proper divisors (1225185652).

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

674464464 is a wasteful number, since it uses less digits than its factorization.

674464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30004 (or 29995 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 674464464 is about 25970.4536733573. The cubic root of 674464464 is about 876.9732724162.

The spelling of 674464464 in words is "six hundred seventy-four million, four hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 22608 29833 59666 89499 119332 178998 238664 268497 357996 477328 536994 715992 1073988 1431984 2147976 4295952 4683781 9367562 14051343 18735124 28102686 37470248 42154029 56205372 74940496 84308058 112410744 168616116 224821488 337232232 674464464