Search a number
-
+
42346464 = 253441109
BaseRepresentation
bin1010000110001…
…0011111100000
32221200102102120
42201202133200
541320041324
64111344240
71022640036
oct241423740
987612376
1042346464
11219a3586
1212222080
138a088a4
1458a4556
153ab7179
hex28627e0

42346464 has 24 divisors (see below), whose sum is σ = 111159720. Its totient is φ = 14115456.

The previous prime is 42346457. The next prime is 42346471. The reversal of 42346464 is 46464324.

It is an interprime number because it is at equal distance from previous prime (42346457) and next prime (42346471).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220459 + ... + 220650.

It is an arithmetic number, because the mean of its divisors is an integer number (4631655).

Almost surely, 242346464 is an apocalyptic number.

It is an amenable number.

42346464 is an abundant number, since it is smaller than the sum of its proper divisors (68813256).

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

42346464 is a wasteful number, since it uses less digits than its factorization.

42346464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441122 (or 441114 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 42346464 is about 6507.4160770616. The cubic root of 42346464 is about 348.5558562808. Note that the first 3 decimals are identical.

The spelling of 42346464 in words is "forty-two million, three hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 441109 882218 1323327 1764436 2646654 3528872 5293308 7057744 10586616 14115488 21173232 42346464