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20434034440 = 2352373304259
BaseRepresentation
bin10011000001111101…
…101001111100001000
31221202002020111120101
4103001331221330020
5313322103100230
613215352135144
71322242266301
oct230175517410
957662214511
1020434034440
118736530576
123b633974b4
131c085a4651
14dbbbc97a8
157e8e03aca
hex4c1f69f08

20434034440 has 64 divisors (see below), whose sum is σ = 48632918400. Its totient is φ = 7711114752.

The previous prime is 20434034393. The next prime is 20434034449. The reversal of 20434034440 is 4443043402.

It is a super-2 number, since 2×204340344402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20434034399 and 20434034408.

It is not an unprimeable number, because it can be changed into a prime (20434034449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84970 + ... + 219289.

It is an arithmetic number, because the mean of its divisors is an integer number (759889350).

Almost surely, 220434034440 is an apocalyptic number.

20434034440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434034440 is an abundant number, since it is smaller than the sum of its proper divisors (28198883960).

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

20434034440 is a wasteful number, since it uses less digits than its factorization.

20434034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304366 (or 304362 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20434034440 its reverse (4443043402), we get a palindrome (24877077842).

The spelling of 20434034440 in words is "twenty billion, four hundred thirty-four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 73 92 115 146 184 230 292 365 460 584 730 920 1460 1679 2920 3358 6716 8395 13432 16790 33580 67160 304259 608518 1217036 1521295 2434072 3042590 6085180 6997957 12170360 13995914 22210907 27991828 34989785 44421814 55983656 69979570 88843628 111054535 139959140 177687256 222109070 279918280 444218140 510850861 888436280 1021701722 2043403444 2554254305 4086806888 5108508610 10217017220 20434034440