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2342113344 = 26324678707
BaseRepresentation
bin1000101110011001…
…1101000001000000
320001020002200111200
42023212131001000
514244040111334
61024223341200
7112016430534
oct21346350100
96036080450
102342113344
11aa207546a
12554451800
132b42cb8ac
141830b1bc4
15da93e799
hex8b99d040

2342113344 has 84 divisors (see below), whose sum is σ = 6728392944. Its totient is φ = 778943232.

The previous prime is 2342113289. The next prime is 2342113349. The reversal of 2342113344 is 4433112432.

It is a super-2 number, since 2×23421133442 = 10970989832285724672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2342113349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264639 + ... + 273345.

It is an arithmetic number, because the mean of its divisors is an integer number (80099916).

Almost surely, 22342113344 is an apocalyptic number.

2342113344 is a gapful number since it is divisible by the number (24) 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 2342113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364196472).

2342113344 is an abundant number, since it is smaller than the sum of its proper divisors (4386279600).

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

2342113344 is a wasteful number, since it uses less digits than its factorization.

2342113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9192 (or 9179 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2342113344 is about 48395.3855651549. The cubic root of 2342113344 is about 1328.0139472092.

Adding to 2342113344 its reverse (4433112432), we get a palindrome (6775225776).

The spelling of 2342113344 in words is "two billion, three hundred forty-two million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 467 576 934 1401 1868 2802 3736 4203 5604 7472 8406 8707 11208 14944 16812 17414 22416 26121 29888 33624 34828 44832 52242 67248 69656 78363 89664 104484 134496 139312 156726 208968 268992 278624 313452 417936 557248 626904 835872 1253808 1671744 2507616 4066169 5015232 8132338 12198507 16264676 24397014 32529352 36595521 48794028 65058704 73191042 97588056 130117408 146382084 195176112 260234816 292764168 390352224 585528336 780704448 1171056672 2342113344