Search a number
-
+
678064240 = 245731139281
BaseRepresentation
bin101000011010100…
…111000001110000
31202020220020021101
4220122213001300
52342041023430
6151141134144
722542310450
oct5032470160
91666806241
10678064240
11318827777
1216b0ba354
13aa62bb59
14660a7d60
153e7dcdca
hex286a7070

678064240 has 160 divisors (see below), whose sum is σ = 1879879680. Its totient is φ = 222566400.

The previous prime is 678064237. The next prime is 678064249. The reversal of 678064240 is 42460876.

It is a super-2 number, since 2×6780642402 = 919542227133555200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 678064240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678064249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412900 + ... + 2413180.

It is an arithmetic number, because the mean of its divisors is an integer number (11749248).

Almost surely, 2678064240 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 678064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939939840).

678064240 is an abundant number, since it is smaller than the sum of its proper divisors (1201815440).

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

678064240 is a wasteful number, since it uses less digits than its factorization.

678064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 678064240 is about 26039.6666645332. Note that the first 5 decimals coincide. The cubic root of 678064240 is about 878.5307093234.

The spelling of 678064240 in words is "six hundred seventy-eight million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 139 140 155 217 248 278 280 281 310 434 496 556 560 562 620 695 868 973 1085 1112 1124 1240 1390 1405 1736 1946 1967 2170 2224 2248 2480 2780 2810 3472 3892 3934 4309 4340 4496 4865 5560 5620 7784 7868 8618 8680 8711 9730 9835 11120 11240 15568 15736 17236 17360 17422 19460 19670 21545 22480 30163 31472 34472 34844 38920 39059 39340 43090 43555 60326 60977 68944 69688 77840 78118 78680 86180 87110 120652 121954 139376 150815 156236 157360 172360 174220 195295 241304 243908 273413 301630 304885 312472 344720 348440 390590 482608 487816 546826 603260 609770 624944 696880 781180 975632 1093652 1206520 1210829 1219540 1367065 1562360 2187304 2413040 2421658 2439080 2734130 3124720 4374608 4843316 4878160 5468260 6054145 8475803 9686632 10936520 12108290 16951606 19373264 21873040 24216580 33903212 42379015 48433160 67806424 84758030 96866320 135612848 169516060 339032120 678064240