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20434403040 = 2535123134583
BaseRepresentation
bin10011000001111111…
…000011111011100000
31221202002221020012020
4103001333003323200
5313322201344130
613215404101440
71322245363032
oct230177037340
957662836166
1020434403040
1187367624a7
123b63534880
131c086a335c
14dbbc83c52
157e8e77e10
hex4c1fc3ee0

20434403040 has 96 divisors (see below), whose sum is σ = 64422521856. Its totient is φ = 5444590080.

The previous prime is 20434403039. The next prime is 20434403047. The reversal of 20434403040 is 4030443402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×204344030402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20434403040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434403047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573589 + ... + 608171.

It is an arithmetic number, because the mean of its divisors is an integer number (671067936).

Almost surely, 220434403040 is an apocalyptic number.

20434403040 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 20434403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32211260928).

20434403040 is an abundant number, since it is smaller than the sum of its proper divisors (43988118816).

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

20434403040 is a wasteful number, since it uses less digits than its factorization.

20434403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35832 (or 35824 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20434403040 its reverse (4030443402), we get a palindrome (24464846442).

The spelling of 20434403040 in words is "twenty billion, four hundred thirty-four million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1231 2462 3693 4924 6155 7386 9848 12310 14772 18465 19696 24620 29544 34583 36930 39392 49240 59088 69166 73860 98480 103749 118176 138332 147720 172915 196960 207498 276664 295440 345830 414996 518745 553328 590880 691660 829992 1037490 1106656 1383320 1659984 2074980 2766640 3319968 4149960 5533280 8299920 16599840 42571673 85143346 127715019 170286692 212858365 255430038 340573384 425716730 510860076 638575095 681146768 851433460 1021720152 1277150190 1362293536 1702866920 2043440304 2554300380 3405733840 4086880608 5108600760 6811467680 10217201520 20434403040