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401240064 = 212332653
BaseRepresentation
bin10111111010100…
…111000000000000
31000222000002220010
4113322213000000
51310204140224
6103451544520
712641325051
oct2772470000
91028002803
10401240064
11196542665
12b245b140
1365186b74
143b408728
152535ae29
hex17ea7000

401240064 has 52 divisors (see below), whose sum is σ = 1069875656. Its totient is φ = 133742592.

The previous prime is 401240057. The next prime is 401240087. The reversal of 401240064 is 460042104.

It is a self number, because there is not a number n which added to its sum of digits gives 401240064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4039 + ... + 28614.

Almost surely, 2401240064 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 401240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534937828).

401240064 is an abundant number, since it is smaller than the sum of its proper divisors (668635592).

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

401240064 is an equidigital number, since it uses as much as digits as its factorization.

401240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32680 (or 32658 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 401240064 is about 20030.9776096924. The cubic root of 401240064 is about 737.5669200599.

Adding to 401240064 its reverse (460042104), we get a palindrome (861282168).

The spelling of 401240064 in words is "four hundred one million, two hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 32653 65306 97959 130612 195918 261224 391836 522448 783672 1044896 1567344 2089792 3134688 4179584 6269376 8359168 12538752 16718336 25077504 33436672 50155008 66873344 100310016 133746688 200620032 401240064