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20378344 = 2371033533
BaseRepresentation
bin100110110111…
…1001011101000
31102100022211111
41031233023220
520204101334
62004440104
7335133040
oct115571350
942308744
1020378344
1110559608
1269a9034
1342b66bc
1429c6720
151bc8064
hex136f2e8

20378344 has 32 divisors (see below), whose sum is σ = 44104320. Its totient is φ = 8646336.

The previous prime is 20378333. The next prime is 20378357. The reversal of 20378344 is 44387302.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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, 4002 + ... + 7534.

It is an arithmetic number, because the mean of its divisors is an integer number (1378260).

Almost surely, 220378344 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 20378344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

20378344 is an abundant number, since it is smaller than the sum of its proper divisors (23725976).

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

20378344 is a wasteful number, since it uses less digits than its factorization.

20378344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 20378344 is about 4514.2379201810. The cubic root of 20378344 is about 273.1427199028.

The spelling of 20378344 in words is "twenty million, three hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 3533 5768 7066 14132 24731 28264 49462 98924 197848 363899 727798 1455596 2547293 2911192 5094586 10189172 20378344