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1020313424 = 24134905353
BaseRepresentation
bin111100110100001…
…011111101010000
32122002220021220002
4330310023331100
54042200012144
6245124505132
734166343464
oct7464137520
92562807802
101020313424
11483a38639
1224584b1a8
13133500170
14997184a4
155e89514e
hex3cd0bf50

1020313424 has 20 divisors (see below), whose sum is σ = 2128923636. Its totient is φ = 470913792.

The previous prime is 1020313403. The next prime is 1020313451. The reversal of 1020313424 is 4243130201.

It can be written as a sum of positive squares in 2 ways, for example, as 564917824 + 455395600 = 23768^2 + 21340^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020313396 and 1020313405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2452469 + ... + 2452884.

Almost surely, 21020313424 is an apocalyptic number.

It is an amenable number.

1020313424 is an abundant number, since it is smaller than the sum of its proper divisors (1108610212).

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

1020313424 is a wasteful number, since it uses less digits than its factorization.

1020313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905374 (or 4905368 counting only the distinct ones).

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

The square root of 1020313424 is about 31942.3453115140. The cubic root of 1020313424 is about 1006.7258034837.

Adding to 1020313424 its reverse (4243130201), we get a palindrome (5263443625).

The spelling of 1020313424 in words is "one billion, twenty million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 4905353 9810706 19621412 39242824 63769589 78485648 127539178 255078356 510156712 1020313424