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432014420 = 225131181911
BaseRepresentation
bin11001110000000…
…000010001010100
31010002220121101002
4121300000101110
51341043430140
6110511322432
713464030155
oct3160002124
91102817332
10432014420
11201951912
12100820418
136b670446
144153992c
1527dd9415
hex19c00454

432014420 has 48 divisors (see below), whose sum is σ = 920215296. Its totient is φ = 170352000.

The previous prime is 432014413. The next prime is 432014437. The reversal of 432014420 is 24410234.

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 = 432014392 and 432014401.

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, 473765 + ... + 474675.

It is an arithmetic number, because the mean of its divisors is an integer number (19171152).

Almost surely, 2432014420 is an apocalyptic number.

It is an amenable number.

432014420 is an abundant number, since it is smaller than the sum of its proper divisors (488200876).

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

432014420 is a wasteful number, since it uses less digits than its factorization.

432014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

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

The square root of 432014420 is about 20784.9565792185. The cubic root of 432014420 is about 755.9610409829.

Adding to 432014420 its reverse (24410234), we get a palindrome (456424654).

The spelling of 432014420 in words is "four hundred thirty-two million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 131 181 262 362 524 655 724 905 911 1310 1810 1822 2620 3620 3644 4555 9110 18220 23711 47422 94844 118555 119341 164891 237110 238682 329782 474220 477364 596705 659564 824455 1193410 1648910 2386820 3297820 21600721 43201442 86402884 108003605 216007210 432014420