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431244020 = 225231735419
BaseRepresentation
bin11001101101000…
…100001011110100
31010001110110120202
4121231010023310
51340344302040
6110443020032
713454341124
oct3155041364
91101413522
10431244020
11201476019
1210050a618
136b46089c
14413b8c84
1527cd6015
hex19b442f4

431244020 has 48 divisors (see below), whose sum is σ = 950624640. Its totient is φ = 164013696.

The previous prime is 431244001. The next prime is 431244031. The reversal of 431244020 is 20442134.

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 = 431243983 and 431244001.

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, 76871 + ... + 82289.

It is an arithmetic number, because the mean of its divisors is an integer number (19804680).

Almost surely, 2431244020 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 431244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475312320).

431244020 is an abundant number, since it is smaller than the sum of its proper divisors (519380620).

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

431244020 is a wasteful number, since it uses less digits than its factorization.

431244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 431244020 is about 20766.4156753158. The cubic root of 431244020 is about 755.5114117648.

Adding to 431244020 its reverse (20442134), we get a palindrome (451686154).

The spelling of 431244020 in words is "four hundred thirty-one million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 173 230 346 460 692 865 1730 3460 3979 5419 7958 10838 15916 19895 21676 27095 39790 54190 79580 108380 124637 249274 498548 623185 937487 1246370 1874974 2492740 3749948 4687435 9374870 18749740 21562201 43124402 86248804 107811005 215622010 431244020