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677674032 = 243712715881
BaseRepresentation
bin101000011001000…
…111110000110000
31202020011102000020
4220121013300300
52341441032112
6151124523440
722536064020
oct5031076060
91666142006
10677674032
11318590592
1216ab50580
13aa523369
1466005a80
153e76248c
hex28647c30

677674032 has 80 divisors (see below), whose sum is σ = 2016632832. Its totient is φ = 192084480.

The previous prime is 677674021. The next prime is 677674051. The reversal of 677674032 is 230476776.

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

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, 34732 + ... + 50612.

Almost surely, 2677674032 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 677674032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008316416).

677674032 is an abundant number, since it is smaller than the sum of its proper divisors (1338958800).

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

677674032 is a wasteful number, since it uses less digits than its factorization.

677674032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16026 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 677674032 is about 26032.1730172493. The cubic root of 677674032 is about 878.3621532726.

It can be divided in two parts, 6776 and 74032, that added together give a palindrome (80808).

The spelling of 677674032 in words is "six hundred seventy-seven million, six hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 5334 6096 7112 10668 14224 15881 21336 31762 42672 47643 63524 95286 111167 127048 190572 222334 254096 333501 381144 444668 667002 762288 889336 1334004 1778672 2016887 2668008 4033774 5336016 6050661 8067548 12101322 14118209 16135096 24202644 28236418 32270192 42354627 48405288 56472836 84709254 96810576 112945672 169418508 225891344 338837016 677674032