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20344403040 = 2535133260321
BaseRepresentation
bin10010111100100111…
…101111010001100000
31221111211120202101220
4102330213233101200
5313131131344130
613202431055040
71320103400253
oct227447572140
957454522356
1020344403040
11869a981135
123b39371480
131bc2b51410
14dadd3709a
157e10eb410
hex4bc9ef460

20344403040 has 96 divisors (see below), whose sum is σ = 69014496096. Its totient is φ = 5007851520.

The previous prime is 20344403039. The next prime is 20344403059. The reversal of 20344403040 is 4030444302.

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 2×203444030402 (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 20344403040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1623921 + ... + 1636400.

It is an arithmetic number, because the mean of its divisors is an integer number (718901001).

Almost surely, 220344403040 is an apocalyptic number.

20344403040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20344403040 is an abundant number, since it is smaller than the sum of its proper divisors (48670093056).

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

20344403040 is a wasteful number, since it uses less digits than its factorization.

20344403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260352 (or 3260344 counting only the distinct ones).

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

Adding to 20344403040 its reverse (4030444302), we get a palindrome (24374847342).

The spelling of 20344403040 in words is "twenty billion, three hundred forty-four million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 3260321 6520642 9780963 13041284 16301605 19561926 26082568 32603210 39123852 42384173 48904815 52165136 65206420 78247704 84768346 97809630 104330272 127152519 130412840 156495408 169536692 195619260 211920865 254305038 260825680 312990816 339073384 391238520 423841730 508610076 521651360 635762595 678146768 782477040 847683460 1017220152 1271525190 1356293536 1564954080 1695366920 2034440304 2543050380 3390733840 4068880608 5086100760 6781467680 10172201520 20344403040