Search a number
-
+
680984304 = 2437111314173
BaseRepresentation
bin101000100101101…
…111111011110000
31202110101120211220
4220211233323300
52343312444204
6151323505040
722606161660
oct5045577360
91673346756
10680984304
1131a441650
12170088180
13ab111cc0
14666281a0
153ebb81d9
hex2896fef0

680984304 has 160 divisors (see below), whose sum is σ = 2362182144. Its totient is φ = 163261440.

The previous prime is 680984303. The next prime is 680984357. The reversal of 680984304 is 403489086.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680984303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40962 + ... + 55134.

Almost surely, 2680984304 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 680984304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181091072).

680984304 is an abundant number, since it is smaller than the sum of its proper divisors (1681197840).

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

680984304 is a wasteful number, since it uses less digits than its factorization.

680984304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14215 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 680984304 is about 26095.6759636534. The cubic root of 680984304 is about 879.7900256602.

The spelling of 680984304 in words is "six hundred eighty million, nine hundred eighty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 14173 16016 24024 28346 42519 48048 56692 85038 99211 113384 155903 170076 184249 198422 226768 297633 311806 340152 368498 396844 467709 552747 595266 623612 680304 736996 793688 935418 1091321 1105494 1190532 1247224 1289743 1473992 1587376 1870836 2026739 2182642 2210988 2381064 2494448 2579486 2947984 3273963 3741672 3869229 4053478 4365284 4421976 4762128 5158972 6080217 6547926 7483344 7738458 8106956 8730568 8843952 10317944 12160434 13095852 14187173 15476916 16213912 17461136 20635888 24320868 26191704 28374346 30953832 32427824 42561519 48641736 52383408 56748692 61907664 85123038 97283472 113497384 170246076 226994768 340492152 680984304