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688664340 = 2232571342043
BaseRepresentation
bin101001000011000…
…010111100010100
31202222211202212200
4221003002330110
52402244224330
6152200244500
723031356520
oct5103027424
91688752780
10688664340
11323807791
12172770730
13ac8a08c0
1467666d80
15406d3a60
hex290c2f14

688664340 has 144 divisors (see below), whose sum is σ = 2571074688. Its totient is φ = 145297152.

The previous prime is 688664323. The next prime is 688664357. The reversal of 688664340 is 43466886.

It is an interprime number because it is at equal distance from previous prime (688664323) and next prime (688664357).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4642 + ... + 37401.

Almost surely, 2688664340 is an apocalyptic number.

688664340 is a gapful number since it is divisible by the number (60) 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 688664340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285537344).

688664340 is an abundant number, since it is smaller than the sum of its proper divisors (1882410348).

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

688664340 is a wasteful number, since it uses less digits than its factorization.

688664340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42078 (or 42073 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 688664340 is about 26242.4149041204. The cubic root of 688664340 is about 883.0850483712.

The spelling of 688664340 in words is "six hundred eighty-eight million, six hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 42043 84086 126129 168172 210215 252258 294301 378387 420430 504516 546559 588602 630645 756774 840860 882903 1093118 1177204 1261290 1471505 1513548 1639677 1765806 1891935 2186236 2522580 2648709 2732795 2943010 3279354 3531612 3783870 3825913 4414515 4919031 5297418 5465590 5886020 6558708 7567740 7651826 8198385 8829030 9838062 10594836 10931180 11477739 13243545 15303652 16396770 17658060 19129565 19676124 22955478 24595155 26487090 32793540 34433217 38259130 45910956 49190310 52974180 57388695 68866434 76518260 98380620 114777390 137732868 172166085 229554780 344332170 688664340