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673108704 = 2534318377
BaseRepresentation
bin101000000111101…
…101001011100000
31201220120110120000
4220013231023200
52334303434304
6150443020000
722452221022
oct5007551340
91656513500
10673108704
11315a52594
1216950a600
13a95b5398
1465578012
153e15e939
hex281ed2e0

673108704 has 120 divisors (see below), whose sum is σ = 2043695808. Its totient is φ = 217105920.

The previous prime is 673108679. The next prime is 673108729. The reversal of 673108704 is 407801376.

It is an interprime number because it is at equal distance from previous prime (673108679) and next prime (673108729).

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 76164 + ... + 84540.

Almost surely, 2673108704 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 673108704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021847904).

673108704 is an abundant number, since it is smaller than the sum of its proper divisors (1370587104).

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

673108704 is a wasteful number, since it uses less digits than its factorization.

673108704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 673108704 is about 25944.3385731839. The cubic root of 673108704 is about 876.3852687008.

It can be divided in two parts, 67 and 3108704, that added together give a triangular number (3108771 = T2493).

The spelling of 673108704 in words is "six hundred seventy-three million, one hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8377 8928 10044 13392 16754 20088 25131 26784 33508 40176 50262 67016 75393 80352 100524 134032 150786 201048 226179 259687 268064 301572 402096 452358 519374 603144 678537 779061 804192 904716 1038748 1206288 1357074 1558122 1809432 2077496 2337183 2412576 2714148 3116244 3618864 4154992 4674366 5428296 6232488 7011549 7237728 8309984 9348732 10856592 12464976 14023098 18697464 21034647 21713184 24929952 28046196 37394928 42069294 56092392 74789856 84138588 112184784 168277176 224369568 336554352 673108704