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431542940 = 225312812477
BaseRepresentation
bin11001101110001…
…101001010011100
31010002000122121212
4121232031022130
51340433333230
6110453243552
713460024453
oct3156151234
91102018555
10431542940
1120165a664
121006335b8
136b53696a
1441455b9a
1527d44895
hex19b8d29c

431542940 has 48 divisors (see below), whose sum is σ = 939181824. Its totient is φ = 166387200.

The previous prime is 431542927. The next prime is 431542963. The reversal of 431542940 is 49245134.

It is a junction number, because it is equal to n+sod(n) for n = 431542897 and 431542906.

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, 172982 + ... + 175458.

It is an arithmetic number, because the mean of its divisors is an integer number (19566288).

Almost surely, 2431542940 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 431542940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469590912).

431542940 is an abundant number, since it is smaller than the sum of its proper divisors (507638884).

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

431542940 is a wasteful number, since it uses less digits than its factorization.

431542940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 431542940 is about 20773.6116262917. The cubic root of 431542940 is about 755.6859342319.

The spelling of 431542940 in words is "four hundred thirty-one million, five hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 281 310 562 620 1124 1405 2477 2810 4954 5620 8711 9908 12385 17422 24770 34844 43555 49540 76787 87110 153574 174220 307148 383935 696037 767870 1392074 1535740 2784148 3480185 6960370 13920740 21577147 43154294 86308588 107885735 215771470 431542940