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675340224 = 2631331601
BaseRepresentation
bin101000010000001…
…101111111000000
31202001202211121220
4220100031333000
52340341341344
6151002515040
722510203636
oct5020157700
91661684556
10675340224
11317237119
1216a205a80
13a9bb7000
1465999356
153e450c19
hex2840dfc0

675340224 has 112 divisors (see below), whose sum is σ = 1936882080. Its totient is φ = 207667200.

The previous prime is 675340223. The next prime is 675340247. The reversal of 675340224 is 422043576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675340223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421024 + ... + 422624.

It is an arithmetic number, because the mean of its divisors is an integer number (17293590).

Almost surely, 2675340224 is an apocalyptic number.

675340224 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 675340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968441040).

675340224 is an abundant number, since it is smaller than the sum of its proper divisors (1261541856).

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

675340224 is a wasteful number, since it uses less digits than its factorization.

675340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 675340224 is about 25987.3089026163. The cubic root of 675340224 is about 877.3526775996.

The spelling of 675340224 in words is "six hundred seventy-five million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 1601 2028 2197 2496 2704 3202 4056 4394 4803 5408 6404 6591 8112 8788 9606 10816 12808 13182 16224 17576 19212 20813 25616 26364 32448 35152 38424 41626 51232 52728 62439 70304 76848 83252 102464 105456 124878 140608 153696 166504 210912 249756 270569 307392 333008 421824 499512 541138 666016 811707 999024 1082276 1332032 1623414 1998048 2164552 3246828 3517397 3996096 4329104 6493656 7034794 8658208 10552191 12987312 14069588 17316416 21104382 25974624 28139176 42208764 51949248 56278352 84417528 112556704 168835056 225113408 337670112 675340224