[go: up one dir, main page]

Search a number
-
+
704643128 = 23723135743
BaseRepresentation
bin101010000000000…
…000000000111000
31211002220120122122
4222000000000320
52420342040003
6153530540412
723314240100
oct5200000070
91732816578
10704643128
113318308a2
12177b97708
13b2ca68c7
1469826200
1541cdd238
hex2a000038

704643128 has 48 divisors (see below), whose sum is σ = 1542091680. Its totient is φ = 300972672.

The previous prime is 704643127. The next prime is 704643169. The reversal of 704643128 is 821346407.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704643127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119825 + ... + 125567.

It is an arithmetic number, because the mean of its divisors is an integer number (32126910).

Almost surely, 2704643128 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 704643128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771045840).

704643128 is an abundant number, since it is smaller than the sum of its proper divisors (837448552).

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

704643128 is a wasteful number, since it uses less digits than its factorization.

704643128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 704643128 is about 26545.1149554866. The cubic root of 704643128 is about 889.8628446642.

The spelling of 704643128 in words is "seven hundred four million, six hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 313 392 626 1252 2191 2504 4382 5743 8764 11486 15337 17528 22972 30674 40201 45944 61348 80402 122696 160804 281407 321608 562814 1125628 1797559 2251256 3595118 7190236 12582913 14380472 25165826 50331652 88080391 100663304 176160782 352321564 704643128