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674373024 = 253213281641
BaseRepresentation
bin101000001100100…
…001110110100000
31201222221200212200
4220030201312200
52340114414044
6150530053200
722466035053
oct5014416640
91658850780
10674373024
11316736486
12169a1a200
13a99389c0
14657c6a9a
153e30e369
hex28321da0

674373024 has 144 divisors (see below), whose sum is σ = 2075850504. Its totient is φ = 206438400.

The previous prime is 674373019. The next prime is 674373031. The reversal of 674373024 is 420373476.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 628404624 + 45968400 = 25068^2 + 6780^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 674373024.

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 23 ways as a sum of consecutive naturals, for example, 1051744 + ... + 1052384.

Almost surely, 2674373024 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 674373024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037925252).

674373024 is an abundant number, since it is smaller than the sum of its proper divisors (1401477480).

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

674373024 is a wasteful number, since it uses less digits than its factorization.

674373024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 674373024 is about 25968.6931515623. The cubic root of 674373024 is about 876.9336389665.

The spelling of 674373024 in words is "six hundred seventy-four million, three hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 281 288 312 416 468 562 624 641 843 936 1124 1248 1282 1686 1872 1923 2248 2529 2564 3372 3653 3744 3846 4496 5058 5128 5769 6744 7306 7692 8333 8992 10116 10256 10959 11538 13488 14612 15384 16666 20232 20512 21918 23076 24999 26976 29224 30768 32877 33332 40464 43836 46152 49998 58448 61536 65754 66664 74997 80928 87672 92304 99996 116896 131508 133328 149994 175344 180121 184608 199992 263016 266656 299988 350688 360242 399984 526032 540363 599976 720484 799968 1052064 1080726 1199952 1440968 1621089 2161452 2341573 2399904 2881936 3242178 4322904 4683146 5763872 6484356 7024719 8645808 9366292 12968712 14049438 17291616 18732584 21074157 25937424 28098876 37465168 42148314 51874848 56197752 74930336 84296628 112395504 168593256 224791008 337186512 674373024