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673303104 = 2634235647
BaseRepresentation
bin101000001000011…
…100101001000000
31201220221100020000
4220020130221000
52334331144404
6150451120000
722453660545
oct5010345100
91656840200
10673303104
11316075651
121695a3000
13a9652a06
14655c8bcc
153e19c339
hex2821ca40

673303104 has 140 divisors (see below), whose sum is σ = 2083027584. Its totient is φ = 214638336.

The previous prime is 673303091. The next prime is 673303109. The reversal of 673303104 is 401303376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673303109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116409 + ... + 122055.

Almost surely, 2673303104 is an apocalyptic number.

673303104 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 673303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041513792).

673303104 is an abundant number, since it is smaller than the sum of its proper divisors (1409724480).

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

673303104 is a wasteful number, since it uses less digits than its factorization.

673303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 673303104 is about 25948.0847848160. The cubic root of 673303104 is about 876.4696299619.

The spelling of 673303104 in words is "six hundred seventy-three million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 5647 6624 7452 9936 11294 13248 14904 16941 19872 22588 29808 33882 39744 45176 50823 59616 67764 90352 101646 119232 129881 135528 152469 180704 203292 259762 271056 304938 361408 389643 406584 457407 519524 542112 609876 779286 813168 914814 1039048 1084224 1168929 1219752 1558572 1626336 1829628 2078096 2337858 2439504 3117144 3252672 3506787 3659256 4156192 4675716 4879008 6234288 7013574 7318512 8312384 9351432 9758016 10520361 12468576 14027148 14637024 18702864 21040722 24937152 28054296 29274048 37405728 42081444 56108592 74811456 84162888 112217184 168325776 224434368 336651552 673303104