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2402401344 = 26371994079
BaseRepresentation
bin1000111100110001…
…1011110001000000
320012102112122002120
42033030123301000
514410003320334
61034215444240
7113351034360
oct21714336100
96172478076
102402401344
111023102762
12570686680
132c3949975
1418b0c69a0
15e0d9c949
hex8f31bc40

2402401344 has 112 divisors (see below), whose sum is σ = 7646822400. Its totient is φ = 650267136.

The previous prime is 2402401321. The next prime is 2402401373. The reversal of 2402401344 is 4431042042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21504 + ... + 72575.

It is an arithmetic number, because the mean of its divisors is an integer number (68275200).

Almost surely, 22402401344 is an apocalyptic number.

2402401344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2402401344 is an abundant number, since it is smaller than the sum of its proper divisors (5244421056).

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

2402401344 is a wasteful number, since it uses less digits than its factorization.

2402401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94120 (or 94110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2402401344 is about 49014.2973427142. The cubic root of 2402401344 is about 1339.3122898726.

Adding to 2402401344 its reverse (4431042042), we get a palindrome (6833443386).

The spelling of 2402401344 in words is "two billion, four hundred two million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 94079 188158 282237 376316 564474 658553 752632 1128948 1317106 1505264 1787501 1975659 2257896 2634212 3010528 3575002 3951318 4515792 5268424 5362503 6021056 7150004 7902636 9031584 10536848 10725006 12512507 14300008 15805272 18063168 21073696 21450012 25025014 28600016 31610544 37537521 42147392 42900024 50050028 57200032 63221088 75075042 85800048 100100056 114400064 126442176 150150084 171600096 200200112 300300168 343200192 400400224 600600336 800800448 1201200672 2402401344