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4340032116 = 2237231457521
BaseRepresentation
bin1000000101010111…
…11010001001110100
3102012110112110211020
410002223322021310
532342022011431
61554353541140
7212356443600
oct40253721164
912173473736
104340032116
111927920402
12a115747b0
135421c7854
142d2588500
151a6040696
hex102afa274

4340032116 has 144 divisors (see below), whose sum is σ = 12210089472. Its totient is φ = 1195084800.

The previous prime is 4340032063. The next prime is 4340032121. The reversal of 4340032116 is 6112300434.

It is a super-2 number, since 2×43400321162 = 37671757535822874912, which contains 22 as substring.

4340032116 is a modest number, since divided by 32116 gives 4340 as remainder.

It is a congruent number.

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, 8329936 + ... + 8330456.

It is an arithmetic number, because the mean of its divisors is an integer number (84792288).

Almost surely, 24340032116 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 4340032116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105044736).

4340032116 is an abundant number, since it is smaller than the sum of its proper divisors (7870057356).

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

4340032116 is a wasteful number, since it uses less digits than its factorization.

4340032116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4340032116 is about 65878.9201186540. The cubic root of 4340032116 is about 1631.1640744393.

The spelling of 4340032116 in words is "four billion, three hundred forty million, thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 457 521 588 651 868 914 1042 1302 1371 1519 1563 1828 2084 2604 2742 3038 3126 3199 3647 4557 5484 6076 6252 6398 7294 9114 9597 10941 12796 14167 14588 16151 18228 19194 21882 22393 25529 28334 32302 38388 42501 43764 44786 48453 51058 56668 64604 67179 76587 85002 89572 96906 99169 102116 113057 134358 153174 170004 193812 198338 226114 238097 268716 297507 306348 339171 396676 452228 476194 595014 678342 694183 714291 791399 952388 1190028 1356684 1388366 1428582 1582798 1666679 2082549 2374197 2776732 2857164 3165596 3333358 4165098 4748394 5000037 6666716 7381007 8330196 9496788 10000074 11666753 14762014 20000148 22143021 23333506 29524028 35000259 44286042 46667012 51667049 70000518 88572084 103334098 140001036 155001147 206668196 310002294 361669343 620004588 723338686 1085008029 1446677372 2170016058 4340032116