Search a number
-
+
3245590944 = 253419591117
BaseRepresentation
bin1100000101110011…
…1100100110100000
322101012011002210000
43001130330212200
523121332402234
61254020140000
7143300032161
oct30134744640
98335132700
103245590944
111416062572
12766b37600
133c954211b
1422b095768
1513ee06899
hexc173c9a0

3245590944 has 240 divisors, whose sum is σ = 10227016800. Its totient is φ = 1006649856.

The previous prime is 3245590913. The next prime is 3245590961. The reversal of 3245590944 is 4490955423.

3245590944 is a `hidden beast` number, since 3 + 2 + 4 + 559 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×32455909442 = 21067721151549622272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3245590944.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2905074 + ... + 2906190.

It is an arithmetic number, because the mean of its divisors is an integer number (42612570).

Almost surely, 23245590944 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 3245590944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113508400).

3245590944 is an abundant number, since it is smaller than the sum of its proper divisors (6981425856).

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

3245590944 is a wasteful number, since it uses less digits than its factorization.

3245590944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3245590944 is about 56970.0881515906. The cubic root of 3245590944 is about 1480.5778946030.

The spelling of 3245590944 in words is "three billion, two hundred forty-five million, five hundred ninety thousand, nine hundred forty-four".