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32414420 = 22510914869
BaseRepresentation
bin111101110100…
…1101011010100
32020222211020002
41323221223110
531244230140
63114430432
7542342453
oct173515324
966884202
1032414420
111732a485
12aa32418
13693bc3c
14443ab9a
152ca4415
hex1ee9ad4

32414420 has 24 divisors (see below), whose sum is σ = 68699400. Its totient is φ = 12845952.

The previous prime is 32414413. The next prime is 32414441. The reversal of 32414420 is 2441423.

It can be written as a sum of positive squares in 4 ways, for example, as 2515396 + 29899024 = 1586^2 + 5468^2 .

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 = 32414392 and 32414401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5255 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (2862475).

Almost surely, 232414420 is an apocalyptic number.

It is an amenable number.

32414420 is an abundant number, since it is smaller than the sum of its proper divisors (36284980).

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

32414420 is a wasteful number, since it uses less digits than its factorization.

32414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14987 (or 14985 counting only the distinct ones).

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

The square root of 32414420 is about 5693.3663152831. The cubic root of 32414420 is about 318.8448586061.

Adding to 32414420 its reverse (2441423), we get a palindrome (34855843).

The spelling of 32414420 in words is "thirty-two million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 14869 29738 59476 74345 148690 297380 1620721 3241442 6482884 8103605 16207210 32414420