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2342442432 = 263115092179
BaseRepresentation
bin1000101110011110…
…1101010111000000
320001020201101221010
42023213231113000
514244131124212
61024234400520
7112022301141
oct21347552700
96036641833
102342442432
11aa227a740
12554590140
132b43b5615
14183159ac8
15da9a703c
hex8b9ed5c0

2342442432 has 112 divisors (see below), whose sum is σ = 6777532800. Its totient is φ = 708111360.

The previous prime is 2342442419. The next prime is 2342442449.

2342442432 is nontrivially palindromic in base 10.

2342442432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2342442432.

It is a congruent number.

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, 1073919 + ... + 1076097.

Almost surely, 22342442432 is an apocalyptic number.

2342442432 is a gapful number since it is divisible by the number (22) 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 2342442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388766400).

2342442432 is an abundant number, since it is smaller than the sum of its proper divisors (4435090368).

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

2342442432 is a wasteful number, since it uses less digits than its factorization.

2342442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2704 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 2342442432 is about 48398.7854393062. The cubic root of 2342442432 is about 1328.0761435994.

It can be divided in two parts, 23424 and 42432, that added together give a palindrome (65856).

The spelling of 2342442432 in words is "two billion, three hundred forty-two million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 509 528 704 1018 1056 1527 2036 2112 2179 3054 4072 4358 5599 6108 6537 8144 8716 11198 12216 13074 16288 16797 17432 22396 23969 24432 26148 32576 33594 34864 44792 47938 48864 52296 67188 69728 71907 89584 95876 97728 104592 134376 139456 143814 179168 191752 209184 268752 287628 358336 383504 418368 537504 575256 767008 1075008 1109111 1150512 1534016 2218222 2301024 3327333 4436444 4602048 6654666 8872888 12200221 13309332 17745776 24400442 26618664 35491552 36600663 48800884 53237328 70983104 73201326 97601768 106474656 146402652 195203536 212949312 292805304 390407072 585610608 780814144 1171221216 2342442432