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2400423424 = 2975312637
BaseRepresentation
bin1000111100010011…
…1000111000000000
320012021211010220021
42033010320320000
514404002022144
61034105223224
7113325156010
oct21704707000
96167733807
102400423424
111021a81713
1256ba91b14
132c34065b9
1418ab2dc40
15e0b0b884
hex8f138e00

2400423424 has 80 divisors (see below), whose sum is σ = 5585187168. Its totient is φ = 1009262592.

The previous prime is 2400423419. The next prime is 2400423427. The reversal of 2400423424 is 4243240042.

It is a super-2 number, since 2×24004234242 = 11524065228975767552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400423427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183634 + ... + 196270.

Almost surely, 22400423424 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 2400423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792593584).

2400423424 is an abundant number, since it is smaller than the sum of its proper divisors (3184763744).

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

2400423424 is an equidigital number, since it uses as much as digits as its factorization.

2400423424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12715 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2400423424 is about 48994.1162181746. The cubic root of 2400423424 is about 1338.9446327503.

Adding to 2400423424 its reverse (4243240042), we get a palindrome (6643663466).

The spelling of 2400423424 in words is "two billion, four hundred million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1484 1696 1792 2968 3392 3584 5936 6784 11872 12637 13568 23744 25274 27136 47488 50548 88459 94976 101096 176918 189952 202192 353836 404384 669761 707672 808768 1339522 1415344 1617536 2679044 2830688 3235072 4688327 5358088 5661376 6470144 9376654 10716176 11322752 18753308 21432352 22645504 37506616 42864704 45291008 75013232 85729408 150026464 171458816 300052928 342917632 600105856 1200211712 2400423424