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2434443420 = 2235731374057
BaseRepresentation
bin1001000100011010…
…1010100010011100
320021122211112120010
42101012222202130
514441204142140
61041322323220
7114220266453
oct22106524234
96248745503
102434443420
11103a1a8412
1257b359510
132ca488286
14191467b9a
15e3acb880
hex911aa89c

2434443420 has 96 divisors (see below), whose sum is σ = 6961969728. Its totient is φ = 635461632.

The previous prime is 2434443383. The next prime is 2434443437. The reversal of 2434443420 is 243444342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 598032 + ... + 602088.

It is an arithmetic number, because the mean of its divisors is an integer number (72520518).

Almost surely, 22434443420 is an apocalyptic number.

2434443420 is a gapful number since it is divisible by the number (20) 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 2434443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480984864).

2434443420 is an abundant number, since it is smaller than the sum of its proper divisors (4527526308).

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

2434443420 is a wasteful number, since it uses less digits than its factorization.

2434443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 2434443420 is about 49340.0792459842. The cubic root of 2434443420 is about 1345.2403802846.

Adding to 2434443420 its reverse (243444342), we get a palindrome (2677887762).

The spelling of 2434443420 in words is "two billion, four hundred thirty-four million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 137 146 219 274 292 365 411 438 548 685 730 822 876 1095 1370 1460 1644 2055 2190 2740 4057 4110 4380 8114 8220 10001 12171 16228 20002 20285 24342 30003 40004 40570 48684 50005 60006 60855 81140 100010 120012 121710 150015 200020 243420 296161 300030 555809 592322 600060 888483 1111618 1184644 1480805 1667427 1776966 2223236 2779045 2961610 3334854 3553932 4442415 5558090 5923220 6669708 8337135 8884830 11116180 16674270 17769660 33348540 40574057 81148114 121722171 162296228 202870285 243444342 405740570 486888684 608610855 811481140 1217221710 2434443420