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20007344 = 247414357
BaseRepresentation
bin100110001010…
…0100110110000
31101122110220202
41030110212300
520110213334
61552454332
7332026310
oct114244660
941573822
1020007344
11103258a5
12684a3a8
1341b6886
14292b440
151b5317e
hex13149b0

20007344 has 40 divisors (see below), whose sum is σ = 45392928. Its totient is φ = 8363520.

The previous prime is 20007319. The next prime is 20007359. The reversal of 20007344 is 44370002.

It is a happy 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, 2414 + ... + 6770.

Almost surely, 220007344 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 20007344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696464).

20007344 is an abundant number, since it is smaller than the sum of its proper divisors (25385584).

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

20007344 is a wasteful number, since it uses less digits than its factorization.

20007344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 20007344 is about 4472.9569637992. The cubic root of 20007344 is about 271.4749820653.

Adding to 20007344 its reverse (44370002), we get a palindrome (64377346).

The spelling of 20007344 in words is "twenty million, seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4357 4592 8714 17428 30499 34856 60998 69712 121996 178637 243992 357274 487984 714548 1250459 1429096 2500918 2858192 5001836 10003672 20007344