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2342341344 = 253723151549
BaseRepresentation
bin1000101110011101…
…0100101011100000
320001020112021021010
42023213110223200
514244114410334
61024232300520
7112021400340
oct21347245340
96036467233
102342341344
11aa22107a2
12554541740
132b437b5c5
14183130d20
15da9870e9
hex8b9d4ae0

2342341344 has 96 divisors (see below), whose sum is σ = 7332595200. Its totient is φ = 640138752.

The previous prime is 2342341343. The next prime is 2342341361. The reversal of 2342341344 is 4431432432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342341343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60319 + ... + 91230.

It is an arithmetic number, because the mean of its divisors is an integer number (76381200).

Almost surely, 22342341344 is an apocalyptic number.

2342341344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2342341344 is an abundant number, since it is smaller than the sum of its proper divisors (4990253856).

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

2342341344 is a wasteful number, since it uses less digits than its factorization.

2342341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151592 (or 151584 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 2342341344 is about 48397.7411043119. The cubic root of 2342341344 is about 1328.0570389688.

Adding to 2342341344 its reverse (4431432432), we get a palindrome (6773773776).

The spelling of 2342341344 in words is "two billion, three hundred forty-two million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 151549 303098 454647 606196 909294 1060843 1212392 1818588 2121686 2424784 3182529 3485627 3637176 4243372 4849568 6365058 6971254 7274352 8486744 10456881 12730116 13942508 14548704 16973488 20913762 24399389 25460232 27885016 33946976 41827524 48798778 50920464 55770032 73198167 83655048 97597556 101840928 111540064 146396334 167310096 195195112 292792668 334620192 390390224 585585336 780780448 1171170672 2342341344