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3431124020 = 225319535807
BaseRepresentation
bin1100110010000010…
…1100110000110100
322212010021011022102
43030200230300310
524011331432040
61324244521232
7151012034012
oct31440546064
98763234272
103431124020
111500864295
127b90b0218
13428b025cc
1424798d8b2
15151354515
hexcc82cc34

3431124020 has 48 divisors (see below), whose sum is σ = 7446878208. Its totient is φ = 1326554880.

The previous prime is 3431124013. The next prime is 3431124023. The reversal of 3431124020 is 204211343.

It is a super-2 number, since 2×34311240202 = 23545224081241920800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3431123983 and 3431124001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431124023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 587957 + ... + 593763.

It is an arithmetic number, because the mean of its divisors is an integer number (155143296).

Almost surely, 23431124020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723439104).

3431124020 is an abundant number, since it is smaller than the sum of its proper divisors (4015754188).

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

3431124020 is a wasteful number, since it uses less digits than its factorization.

3431124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3431124020 is about 58575.7972203537. The cubic root of 3431124020 is about 1508.2690016076.

Adding to 3431124020 its reverse (204211343), we get a palindrome (3635335363).

The spelling of 3431124020 in words is "three billion, four hundred thirty-one million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 953 1906 3812 4765 5807 9530 11614 19060 23228 29035 29543 58070 59086 116140 118172 147715 180017 295430 360034 590860 720068 900085 1800170 3600340 5534071 11068142 22136284 27670355 55340710 110681420 171556201 343112402 686224804 857781005 1715562010 3431124020