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20434432 = 29107373
BaseRepresentation
bin100110111110…
…0111000000000
31102110011202211
41031330320000
520212400212
62005551504
7335455414
oct115747000
942404684
1020434432
1110597767
126a15594
1343060a5
1429dcd44
151bd99a7
hex137ce00

20434432 has 40 divisors (see below), whose sum is σ = 41321016. Its totient is φ = 10094592.

The previous prime is 20434411. The next prime is 20434457. The reversal of 20434432 is 23443402.

It is a super-2 number, since 2×204344322 = 835132022325248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54598 + ... + 54970.

Almost surely, 220434432 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 20434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20660508).

20434432 is an abundant number, since it is smaller than the sum of its proper divisors (20886584).

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

20434432 is an equidigital number, since it uses as much as digits as its factorization.

20434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 20434432 is about 4520.4459956956. The cubic root of 20434432 is about 273.3930836394.

Adding to 20434432 its reverse (23443402), we get a palindrome (43877834).

The spelling of 20434432 in words is "twenty million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 373 428 512 746 856 1492 1712 2984 3424 5968 6848 11936 13696 23872 27392 39911 47744 54784 79822 95488 159644 190976 319288 638576 1277152 2554304 5108608 10217216 20434432