Search a number
-
+
3445112832 = 21437171931
BaseRepresentation
bin1100110101011000…
…0100000000000000
322220002120212100120
43031112010000000
524023422102312
61325504420240
7151241655510
oct31526040000
98802525316
103445112832
111508749297
12801917680
1342b98c905
14249791840
151526b928c
hexcd584000

3445112832 has 480 divisors, whose sum is σ = 12079226880. Its totient is φ = 849346560.

The previous prime is 3445112821. The next prime is 3445112857. The reversal of 3445112832 is 2382115443.

It is a super-2 number, since 2×34451128322 = 23737604850422120448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3445112793 and 3445112802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111132657 + ... + 111132687.

It is an arithmetic number, because the mean of its divisors is an integer number (25165056).

Almost surely, 23445112832 is an apocalyptic number.

3445112832 is a gapful number since it is divisible by the number (32) 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 3445112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039613440).

3445112832 is an abundant number, since it is smaller than the sum of its proper divisors (8634114048).

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

3445112832 is a wasteful number, since it uses less digits than its factorization.

3445112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 3445112832 is about 58695.0835419799. The cubic root of 3445112832 is about 1510.3159773235.

The spelling of 3445112832 in words is "three billion, four hundred forty-five million, one hundred twelve thousand, eight hundred thirty-two".