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2334000064 = 261122314867
BaseRepresentation
bin1000101100011110…
…0000001111000000
320000122211111011211
42023013200033000
514240001000224
61023333415504
7111560446624
oct21307401700
96018744154
102334000064
11a98533880
1255179a594
132b271aa36
14181d9d184
15d9d8a894
hex8b1e03c0

2334000064 has 56 divisors (see below), whose sum is σ = 5075578368. Its totient is φ = 1056080640.

The previous prime is 2334000059. The next prime is 2334000073. The reversal of 2334000064 is 4600004332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2333999999 and 2334000044.

It is a congruent 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, 149559 + ... + 164425.

It is an arithmetic number, because the mean of its divisors is an integer number (90635328).

Almost surely, 22334000064 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 2334000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537789184).

2334000064 is an abundant number, since it is smaller than the sum of its proper divisors (2741578304).

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

2334000064 is a wasteful number, since it uses less digits than its factorization.

2334000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15113 (or 15103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2334000064 is about 48311.4899790930. The cubic root of 2334000064 is about 1326.4787220044.

Adding to 2334000064 its reverse (4600004332), we get a palindrome (6934004396).

The spelling of 2334000064 in words is "two billion, three hundred thirty-four million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 223 352 446 704 892 1784 2453 3568 4906 7136 9812 14272 14867 19624 29734 39248 59468 78496 118936 156992 163537 237872 327074 475744 654148 951488 1308296 2616592 3315341 5233184 6630682 10466368 13261364 26522728 36468751 53045456 72937502 106090912 145875004 212181824 291750008 583500016 1167000032 2334000064