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20378934 = 232372827
BaseRepresentation
bin100110110111…
…1010100110110
31102100100122100
41031233110312
520204111214
62004442530
7335134542
oct115572466
942310570
1020378934
1110559aa4
1269a9446
1342b6a54
1429c6a22
151bc8309
hex136f536

20378934 has 36 divisors (see below), whose sum is σ = 45434844. Its totient is φ = 6601392.

The previous prime is 20378933. The next prime is 20378951. The reversal of 20378934 is 43987302.

20378934 = T1031 + T1032 + ... + T1067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20378933) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24229 + ... + 25055.

It is an arithmetic number, because the mean of its divisors is an integer number (1262079).

Almost surely, 220378934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20378934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22717422).

20378934 is an abundant number, since it is smaller than the sum of its proper divisors (25055910).

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

20378934 is a wasteful number, since it uses less digits than its factorization.

20378934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 20378934 is about 4514.3032685011. The cubic root of 20378934 is about 273.1453559143.

It can be divided in two parts, 20378 and 934, that added together give a palindrome (21312).

The spelling of 20378934 in words is "twenty million, three hundred seventy-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 827 1369 1654 2481 2738 4107 4962 7443 8214 12321 14886 24642 30599 61198 91797 183594 275391 550782 1132163 2264326 3396489 6792978 10189467 20378934