Search a number
-
+
701352432 = 24351123231
BaseRepresentation
bin101001110011011…
…100100111110000
31210212201101200000
4221303130213300
52414021234212
6153332230000
723244253164
oct5163344760
91725641600
10701352432
1132a993510
12176a6b300
13b23c3b51
146920aca4
154188d1dc
hex29cdc9f0

701352432 has 360 divisors, whose sum is σ = 2396179968. Its totient is φ = 196732800.

The previous prime is 701352397. The next prime is 701352433. The reversal of 701352432 is 234253107.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 701352396 and 701352405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701352433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22624257 + ... + 22624287.

Almost surely, 2701352432 is an apocalyptic number.

701352432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 701352432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198089984).

701352432 is an abundant number, since it is smaller than the sum of its proper divisors (1694827536).

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

701352432 is a wasteful number, since it uses less digits than its factorization.

701352432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 701352432 is about 26483.0593398875. The cubic root of 701352432 is about 888.4754575813.

The spelling of 701352432 in words is "seven hundred one million, three hundred fifty-two thousand, four hundred thirty-two".