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3819424440 = 2335133178979
BaseRepresentation
bin1110001110100111…
…1100101010111000
3100212011220212100110
43203221330222320
530310233040230
61430555304320
7163435400136
oct34351745270
910764825313
103819424440
11168aa69127
128a714b0a0
1348b3a8880
1428338a756
151754a64b0
hexe3a7cab8

3819424440 has 128 divisors (see below), whose sum is σ = 12737894400. Its totient is φ = 909826560.

The previous prime is 3819424387. The next prime is 3819424487. The reversal of 3819424440 is 444249183.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8871 + ... + 87849.

It is an arithmetic number, because the mean of its divisors is an integer number (99514800).

Almost surely, 23819424440 is an apocalyptic number.

3819424440 is a gapful number since it is divisible by the number (30) 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 3819424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368947200).

3819424440 is an abundant number, since it is smaller than the sum of its proper divisors (8918469960).

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

3819424440 is a wasteful number, since it uses less digits than its factorization.

3819424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79037 (or 79033 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3819424440 is about 61801.4922149943. The cubic root of 3819424440 is about 1563.1451504578.

The spelling of 3819424440 in words is "three billion, eight hundred nineteen million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 48360 78979 157958 236937 315916 394895 473874 631832 789790 947748 1026727 1184685 1579580 1895496 2053454 2369370 2448349 3080181 3159160 4106908 4738740 4896698 5133635 6160362 7345047 8213816 9477480 9793396 10267270 12241745 12320724 14690094 15400905 19586792 20534540 24483490 24641448 29380188 30801810 31828537 36725235 41069080 48966980 58760376 61603620 63657074 73450470 95485611 97933960 123207240 127314148 146900940 159142685 190971222 254628296 293801880 318285370 381942444 477428055 636570740 763884888 954856110 1273141480 1909712220 3819424440