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674312128 = 26721911317
BaseRepresentation
bin101000001100010…
…010111111000000
31201222211121100021
4220030102333000
52340110442003
6150524503224
722465362400
oct5014227700
91658747307
10674312128
113166a4756
121699aab14
13a9917079
14657ac800
153e2eb2bd
hex28312fc0

674312128 has 84 divisors (see below), whose sum is σ = 1638620040. Its totient is φ = 273756672.

The previous prime is 674312113. The next prime is 674312159. The reversal of 674312128 is 821213476.

It is a junction number, because it is equal to n+sod(n) for n = 674312093 and 674312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53926 + ... + 65242.

Almost surely, 2674312128 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 674312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819310020).

674312128 is an abundant number, since it is smaller than the sum of its proper divisors (964307912).

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

674312128 is a wasteful number, since it uses less digits than its factorization.

674312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11362 (or 11345 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 674312128 is about 25967.5206363642. The cubic root of 674312128 is about 876.9072424191.

The spelling of 674312128 in words is "six hundred seventy-four million, three hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 392 448 532 608 784 931 1064 1216 1568 1862 2128 3136 3724 4256 7448 8512 11317 14896 22634 29792 45268 59584 79219 90536 158438 181072 215023 316876 362144 430046 554533 633752 724288 860092 1109066 1267504 1505161 1720184 2218132 2535008 3010322 3440368 4436264 5070016 6020644 6880736 8872528 10536127 12041288 13761472 17745056 21072254 24082576 35490112 42144508 48165152 84289016 96330304 168578032 337156064 674312128