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20401344 = 263235419
BaseRepresentation
bin100110111010…
…0110011000000
31102101111101100
41031310303000
520210320334
62005134400
7335260065
oct115646300
942344340
1020401344
1110574917
1269ba400
1342c4002
1429d0c6c
151bcec99
hex1374cc0

20401344 has 42 divisors (see below), whose sum is σ = 58478420. Its totient is φ = 6800256.

The previous prime is 20401333. The next prime is 20401349. The reversal of 20401344 is 44310402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20401349) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17134 + ... + 18285.

Almost surely, 220401344 is an apocalyptic number.

20401344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20401344 is an abundant number, since it is smaller than the sum of its proper divisors (38077076).

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

20401344 is a wasteful number, since it uses less digits than its factorization.

20401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35437 (or 35424 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20401344 is about 4516.7846971048. The cubic root of 20401344 is about 273.2454420301.

Adding to 20401344 its reverse (44310402), we get a palindrome (64711746).

The spelling of 20401344 in words is "twenty million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 35419 70838 106257 141676 212514 283352 318771 425028 566704 637542 850056 1133408 1275084 1700112 2266816 2550168 3400224 5100336 6800448 10200672 20401344