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677064432 = 2431123127439
BaseRepresentation
bin101000010110110…
…010111011110000
31202012000102210110
4220112302323300
52341312030212
6151103501320
722530644532
oct5026627360
91665012713
10677064432
11318204590
1216a8b7840
13aa36ba55
1465cc7852
153e691a3c
hex285b2ef0

677064432 has 160 divisors (see below), whose sum is σ = 2011299840. Its totient is φ = 194261760.

The previous prime is 677064431. The next prime is 677064467. The reversal of 677064432 is 234460776.

677064432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677064431) 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, 1542069 + ... + 1542507.

It is an arithmetic number, because the mean of its divisors is an integer number (12570624).

Almost surely, 2677064432 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 677064432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005649920).

677064432 is an abundant number, since it is smaller than the sum of its proper divisors (1334235408).

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

677064432 is a wasteful number, since it uses less digits than its factorization.

677064432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 677064432 is about 26020.4617945186. The cubic root of 677064432 is about 878.0986980922.

The spelling of 677064432 in words is "six hundred seventy-seven million, sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 127 132 138 176 184 253 254 264 276 368 381 439 506 508 528 552 759 762 878 1012 1016 1104 1317 1397 1518 1524 1756 2024 2032 2634 2794 2921 3036 3048 3512 4048 4191 4829 5268 5588 5842 6072 6096 7024 8382 8763 9658 10097 10536 11176 11684 12144 14487 16764 17526 19316 20194 21072 22352 23368 28974 30291 32131 33528 35052 38632 40388 46736 55753 57948 60582 64262 67056 70104 77264 80776 96393 111067 111506 115896 121164 128524 140208 161552 167259 192786 222134 223012 231792 242328 257048 333201 334518 385572 444268 446024 484656 514096 613283 666402 669036 771144 888536 892048 1226566 1282319 1332804 1338072 1542288 1777072 1839849 2453132 2564638 2665608 2676144 3679698 3846957 4906264 5129276 5331216 7359396 7693914 9812528 10258552 14105509 14718792 15387828 20517104 28211018 29437584 30775656 42316527 56422036 61551312 84633054 112844072 169266108 225688144 338532216 677064432