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4324103392 = 257243591087
BaseRepresentation
bin1000000011011110…
…01001010011100000
3102011100120012201111
410001233021103200
532323432302032
61553024313104
7212104162300
oct40157112340
912140505644
104324103392
111919930974
12a08172794
1353bb0b57b
142d03dd600
151a4945c47
hex101bc94e0

4324103392 has 144 divisors (see below), whose sum is σ = 10314501120. Its totient is φ = 1777773312.

The previous prime is 4324103387. The next prime is 4324103393. The reversal of 4324103392 is 2933014234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324103393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3977473 + ... + 3978559.

It is an arithmetic number, because the mean of its divisors is an integer number (71628480).

Almost surely, 24324103392 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 4324103392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157250560).

4324103392 is an abundant number, since it is smaller than the sum of its proper divisors (5990397728).

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

4324103392 is a wasteful number, since it uses less digits than its factorization.

4324103392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 4324103392 is about 65757.9150521061. The cubic root of 4324103392 is about 1629.1660697153.

The spelling of 4324103392 in words is "four billion, three hundred twenty-four million, one hundred three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 59 86 98 112 118 172 196 224 236 301 344 392 413 472 602 688 784 826 944 1087 1204 1376 1568 1652 1888 2107 2174 2408 2537 2891 3304 4214 4348 4816 5074 5782 6608 7609 8428 8696 9632 10148 11564 13216 15218 16856 17392 17759 20296 23128 30436 33712 34784 35518 40592 46256 46741 53263 60872 64133 67424 71036 81184 92512 93482 106526 121744 124313 128266 142072 186964 213052 243488 248626 256532 284144 327187 373928 426104 448931 497252 513064 568288 654374 747856 852208 897862 994504 1026128 1308748 1495712 1704416 1795724 1989008 2052256 2290309 2617496 2757719 3142517 3591448 3978016 4580618 5234992 5515438 6285034 7182896 9161236 10469984 11030876 12570068 14365792 18322472 19304033 22061752 25140136 36644944 38608066 44123504 50280272 73289888 77216132 88247008 100560544 135128231 154432264 270256462 308864528 540512924 617729056 1081025848 2162051696 4324103392