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64346022 = 23313711291
BaseRepresentation
bin1111010101110…
…1011110100110
311111002010011000
43311131132212
5112433033042
610215054130
71410634506
oct365353646
9144063130
1064346022
113335a134
1219671346
131043c190
14878da06
1559b074c
hex3d5d7a6

64346022 has 64 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 19504800.

The previous prime is 64345949. The next prime is 64346039. The reversal of 64346022 is 22064346.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49197 + ... + 50487.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 264346022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64346022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

64346022 is an abundant number, since it is smaller than the sum of its proper divisors (91934298).

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

64346022 is a wasteful number, since it uses less digits than its factorization.

64346022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 64346022 is about 8021.5972224988. The cubic root of 64346022 is about 400.7195838880.

It can be divided in two parts, 643 and 46022, that added together give a triangular number (46665 = T305).

The spelling of 64346022 in words is "sixty-four million, three hundred forty-six thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 117 142 213 234 351 426 639 702 923 1278 1291 1846 1917 2582 2769 3834 3873 5538 7746 8307 11619 16614 16783 23238 24921 33566 34857 49842 50349 69714 91661 100698 151047 183322 274983 302094 453141 549966 824949 906282 1191593 1649898 2383186 2474847 3574779 4949694 7149558 10724337 21448674 32173011 64346022