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2344134144 = 29311138739
BaseRepresentation
bin1000101110111000…
…1010011000000000
320001100220100112010
42023232022120000
514300044243034
61024334532520
7112042545222
oct21356123000
96040810463
102344134144
11aa3225750
12555067140
132b4858631
1418347a412
15dabdd3e9
hex8bb8a600

2344134144 has 80 divisors (see below), whose sum is σ = 6812688960. Its totient is φ = 710338560.

The previous prime is 2344134137. The next prime is 2344134167. The reversal of 2344134144 is 4414314432.

It is a super-2 number, since 2×23441341442 = 10989929770133225472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52474 + ... + 86265.

It is an arithmetic number, because the mean of its divisors is an integer number (85158612).

Almost surely, 22344134144 is an apocalyptic number.

2344134144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2344134144 is an abundant number, since it is smaller than the sum of its proper divisors (4468554816).

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

2344134144 is a wasteful number, since it uses less digits than its factorization.

2344134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138771 (or 138755 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 2344134144 is about 48416.2590872116. The cubic root of 2344134144 is about 1328.3957788762.

Adding to 2344134144 its reverse (4414314432), we get a palindrome (6758448576).

The spelling of 2344134144 in words is "two billion, three hundred forty-four million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 138739 277478 416217 554956 832434 1109912 1526129 1664868 2219824 3052258 3329736 4439648 4578387 6104516 6659472 8879296 9156774 12209032 13318944 17758592 18313548 24418064 26637888 35517184 36627096 48836128 53275776 71034368 73254192 97672256 106551552 146508384 195344512 213103104 293016768 390689024 586033536 781378048 1172067072 2344134144