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670085376 = 2834911777
BaseRepresentation
bin100111111100001…
…011000100000000
31201200212212022220
4213330023010000
52333020213001
6150254131040
722414426452
oct4774130400
91650785286
10670085376
11314278074
121684b0a80
13a8a9722c
1464dcc2d2
153dc63c36
hex27f0b100

670085376 has 72 divisors (see below), whose sum is σ = 1788042144. Its totient is φ = 222781440.

The previous prime is 670085371. The next prime is 670085389. The reversal of 670085376 is 673580076.

It is a super-2 number, since 2×6700853762 = 898028822258122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (670085371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376200 + ... + 377976.

Almost surely, 2670085376 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 670085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894021072).

670085376 is an abundant number, since it is smaller than the sum of its proper divisors (1117956768).

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

670085376 is a wasteful number, since it uses less digits than its factorization.

670085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 670085376 is about 25886.0073398738. The cubic root of 670085376 is about 875.0711783186.

The spelling of 670085376 in words is "six hundred seventy million, eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 491 768 982 1473 1777 1964 2946 3554 3928 5331 5892 7108 7856 10662 11784 14216 15712 21324 23568 28432 31424 42648 47136 56864 62848 85296 94272 113728 125696 170592 188544 227456 341184 377088 454912 682368 872507 1364736 1745014 2617521 3490028 5235042 6980056 10470084 13960112 20940168 27920224 41880336 55840448 83760672 111680896 167521344 223361792 335042688 670085376