Search a number
-
+
697241664 = 26327296789
BaseRepresentation
bin101001100011110…
…001000001000000
31210120222112202100
4221203301001000
52411443213124
6153104150400
723164312350
oct5143610100
91716875670
10697241664
11328635a89
12175608400
13b15b4a42
146885ab60
154132a1c9
hex298f1040

697241664 has 336 divisors, whose sum is σ = 2424988800. Its totient is φ = 187342848.

The previous prime is 697241641. The next prime is 697241669. The reversal of 697241664 is 466142796.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×6972416642 = 972291876034977792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (697241669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7834132 + ... + 7834220.

Almost surely, 2697241664 is an apocalyptic number.

697241664 is a gapful number since it is divisible by the number (64) 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 697241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212494400).

697241664 is an abundant number, since it is smaller than the sum of its proper divisors (1727747136).

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

697241664 is a wasteful number, since it uses less digits than its factorization.

697241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 697241664 is about 26405.3340065980. The cubic root of 697241664 is about 886.7362105239.

The spelling of 697241664 in words is "six hundred ninety-seven million, two hundred forty-one thousand, six hundred sixty-four".