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2434026112 = 27789131233
BaseRepresentation
bin1001000100010100…
…0100101010000000
320021122001100010021
42101011010222000
514441102313422
61041305343224
7114213611020
oct22105045200
96248040107
102434026112
111039a42931
1257b197b14
132ca37034b
14191399a80
15e3a47dc7
hex91144a80

2434026112 has 128 divisors (see below), whose sum is σ = 5671036800. Its totient is φ = 1019166720.

The previous prime is 2434026109. The next prime is 2434026149. The reversal of 2434026112 is 2116204342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×24340261122 = 11848966227795673088, which contains 22 as substring.

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, 10446348 + ... + 10446580.

It is an arithmetic number, because the mean of its divisors is an integer number (44304975).

Almost surely, 22434026112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835518400).

2434026112 is an abundant number, since it is smaller than the sum of its proper divisors (3237010688).

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

2434026112 is a wasteful number, since it uses less digits than its factorization.

2434026112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2434026112 is about 49335.8501700336. The cubic root of 2434026112 is about 1345.1635096471.

The spelling of 2434026112 in words is "two billion, four hundred thirty-four million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 131 178 224 233 262 356 448 466 524 623 712 896 917 932 1048 1246 1424 1631 1834 1864 2096 2492 2848 3262 3668 3728 4192 4984 5696 6524 7336 7456 8384 9968 11392 11659 13048 14672 14912 16768 19936 20737 23318 26096 29344 29824 30523 39872 41474 46636 52192 58688 61046 79744 81613 82948 93272 104384 117376 122092 145159 163226 165896 186544 208768 213661 244184 290318 326452 331792 373088 427322 488368 580636 652904 663584 746176 854644 976736 1161272 1305808 1327168 1492352 1709288 1953472 2322544 2611616 2654336 2716547 3418576 3906944 4645088 5223232 5433094 6837152 9290176 10446464 10866188 13674304 18580352 19015829 21732376 27348608 38031658 43464752 76063316 86929504 152126632 173859008 304253264 347718016 608506528 1217013056 2434026112