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676349760 = 26351741443
BaseRepresentation
bin101000010100000…
…100011101000000
31202010200010110010
4220110010131000
52341121143020
6151040304520
722521610122
oct5024043500
91663603403
10676349760
11317866649
1216a612140
13aa17b678
1465b7d212
153e59ede0
hex28504740

676349760 has 112 divisors (see below), whose sum is σ = 2273783616. Its totient is φ = 169746432.

The previous prime is 676349749. The next prime is 676349789. The reversal of 676349760 is 67943676.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4402 + ... + 37041.

Almost surely, 2676349760 is an apocalyptic number.

676349760 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 676349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136891808).

676349760 is an abundant number, since it is smaller than the sum of its proper divisors (1597433856).

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

676349760 is a wasteful number, since it uses less digits than its factorization.

676349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41480 (or 41470 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 676349760 is about 26006.7252840491. The cubic root of 676349760 is about 877.7896317484.

The spelling of 676349760 in words is "six hundred seventy-six million, three hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 41443 82886 124329 165772 207215 248658 331544 414430 497316 621645 663088 704531 828860 994632 1243290 1326176 1409062 1657720 1989264 2113593 2486580 2652352 2818124 3315440 3522655 3978528 4227186 4973160 5636248 6630880 7045310 7957056 8454372 9946320 10567965 11272496 13261760 14090620 16908744 19892640 21135930 22544992 28181240 33817488 39785280 42271860 45089984 56362480 67634976 84543720 112724960 135269952 169087440 225449920 338174880 676349760