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2342313200 = 24524323167
BaseRepresentation
bin1000101110011100…
…1101110011110000
320001020110211122202
42023213031303300
514244113010300
61024231522332
7112021222313
oct21347156360
96036424582
102342313200
11aa21a1637
125545293a8
132b436b856
1418312497a
15da97dad5
hex8b9cdcf0

2342313200 has 90 divisors (see below), whose sum is σ = 5763140064. Its totient is φ = 914847360.

The previous prime is 2342313191. The next prime is 2342313287. The reversal of 2342313200 is 23132432.

It is a super-2 number, since 2×23423132002 = 10972862253788480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 738017 + ... + 741183.

Almost surely, 22342313200 is an apocalyptic number.

2342313200 is a gapful number since it is divisible by the number (20) 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 2342313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881570032).

2342313200 is an abundant number, since it is smaller than the sum of its proper divisors (3420826864).

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

2342313200 is a wasteful number, since it uses less digits than its factorization.

2342313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2342313200 is about 48397.4503460668. The cubic root of 2342313200 is about 1328.0517199337.

Adding to 2342313200 its reverse (23132432), we get a palindrome (2365445632).

The spelling of 2342313200 in words is "two billion, three hundred forty-two million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 1849 2150 3167 3440 3698 4300 6334 7396 8600 9245 12668 14792 15835 17200 18490 25336 29584 31670 36980 46225 50672 63340 73960 79175 92450 126680 136181 147920 158350 184900 253360 272362 316700 369800 544724 633400 680905 739600 1089448 1266800 1361810 2178896 2723620 3404525 5447240 5855783 6809050 10894480 11711566 13618100 23423132 27236200 29278915 46846264 54472400 58557830 93692528 117115660 146394575 234231320 292789150 468462640 585578300 1171156600 2342313200