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4330104324 = 22372134671213
BaseRepresentation
bin1000000100001100…
…00010011000000100
3102011202212002110020
410002012002120010
532332001314244
61553401055140
7212206164600
oct40206023004
912152762406
104330104324
11192225a517
12a0a1874b0
1354012cb10
142d1122500
151a522dd19
hex102182604

4330104324 has 144 divisors (see below), whose sum is σ = 12694788288. Its totient is φ = 1138620672.

The previous prime is 4330104319. The next prime is 4330104367. The reversal of 4330104324 is 4234010334.

It is a junction number, because it is equal to n+sod(n) for n = 4330104294 and 4330104303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3569142 + ... + 3570354.

It is an arithmetic number, because the mean of its divisors is an integer number (88158252).

Almost surely, 24330104324 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 4330104324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347394144).

4330104324 is an abundant number, since it is smaller than the sum of its proper divisors (8364683964).

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

4330104324 is a wasteful number, since it uses less digits than its factorization.

4330104324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4330104324 is about 65803.5282032810. The cubic root of 4330104324 is about 1629.9193662046.

Adding to 4330104324 its reverse (4234010334), we get a palindrome (8564114658).

The spelling of 4330104324 in words is "four billion, three hundred thirty million, one hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 467 546 588 637 934 1092 1213 1274 1401 1868 1911 2426 2548 2802 3269 3639 3822 4852 5604 6071 6538 7278 7644 8491 9807 12142 13076 14556 15769 16982 18213 19614 22883 24284 25473 31538 33964 36426 39228 42497 45766 47307 50946 59437 63076 68649 72852 84994 91532 94614 101892 110383 118874 127491 137298 169988 178311 189228 220766 237748 254982 274596 297479 331149 356622 441532 509964 566471 594958 662298 713244 772681 892437 1132942 1189916 1324596 1545362 1699413 1784874 2265884 2318043 3090724 3398826 3569748 3965297 4636086 6797652 7364123 7930594 9272172 11895891 14728246 15861188 22092369 23791782 27757079 29456492 44184738 47583564 51548861 55514158 83271237 88369476 103097722 111028316 154646583 166542474 206195444 309293166 333084948 360842027 618586332 721684054 1082526081 1443368108 2165052162 4330104324