Search a number
-
+
678743640 = 233256592861
BaseRepresentation
bin101000011101001…
…100111001011000
31202022011202020100
4220131030321120
52342224244030
6151203455400
722551140301
oct5035147130
91668152210
10678743640
11319151163
1216b387560
13aa809173
14662037a8
153e8c4360
hex2874ce58

678743640 has 96 divisors (see below), whose sum is σ = 2210036400. Its totient is φ = 180660480.

The previous prime is 678743627. The next prime is 678743657. The reversal of 678743640 is 46347876.

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 23 ways as a sum of consecutive naturals, for example, 235810 + ... + 238670.

Almost surely, 2678743640 is an apocalyptic number.

678743640 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 678743640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105018200).

678743640 is an abundant number, since it is smaller than the sum of its proper divisors (1531292760).

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

678743640 is a wasteful number, since it uses less digits than its factorization.

678743640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 678743640 is about 26052.7088802681. The cubic root of 678743640 is about 878.8240318385.

The spelling of 678743640 in words is "six hundred seventy-eight million, seven hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 659 1318 1977 2636 2861 3295 3954 5272 5722 5931 6590 7908 8583 9885 11444 11862 13180 14305 15816 17166 19770 22888 23724 25749 26360 28610 29655 34332 39540 42915 47448 51498 57220 59310 68664 79080 85830 102996 114440 118620 128745 171660 205992 237240 257490 343320 514980 1029960 1885399 3770798 5656197 7541596 9426995 11312394 15083192 16968591 18853990 22624788 28280985 33937182 37707980 45249576 56561970 67874364 75415960 84842955 113123940 135748728 169685910 226247880 339371820 678743640