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4412322304 = 2913250993
BaseRepresentation
bin1000001101111111…
…01011001000000000
3102101111120012022121
410012333223020000
533014023303204
62005455214024
7214225056265
oct40677531000
912344505277
104412322304
111964706065
12a31817314
13554188900
142dc00526c
151ac56eb54
hex106feb200

4412322304 has 60 divisors (see below), whose sum is σ = 9546535746. Its totient is φ = 2036416512.

The previous prime is 4412322293. The next prime is 4412322347. The reversal of 4412322304 is 4032232144.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 806560000 + 3605762304 = 28400^2 + 60048^2 .

It is a super-2 number, since 2×44123223042 = 38937176228751736832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61032 + ... + 112024.

Almost surely, 24412322304 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 4412322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773267873).

4412322304 is an abundant number, since it is smaller than the sum of its proper divisors (5134213442).

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

4412322304 is an equidigital number, since it uses as much as digits as its factorization.

4412322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51037 (or 51008 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4412322304 is about 66425.3137290295. The cubic root of 4412322304 is about 1640.1708011679.

Adding to 4412322304 its reverse (4032232144), we get a palindrome (8444554448).

The spelling of 4412322304 in words is "four billion, four hundred twelve million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1352 1664 2704 3328 5408 6656 10816 21632 43264 50993 86528 101986 203972 407944 662909 815888 1325818 1631776 2651636 3263552 5303272 6527104 8617817 10606544 13054208 17235634 21213088 26108416 34471268 42426176 68942536 84852352 137885072 169704704 275770144 339409408 551540288 1103080576 2206161152 4412322304