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401103312 = 24343373521
BaseRepresentation
bin10111111010000…
…101100111010000
31000221202011022020
4113322011213100
51310140301222
6103445011440
712640215261
oct2772054720
91027664266
10401103312
11196459945
12b23b3b80
136513984c
143b3b0968
152533065c
hex17e859d0

401103312 has 80 divisors (see below), whose sum is σ = 1065163968. Its totient is φ = 129991680.

The previous prime is 401103293. The next prime is 401103343. The reversal of 401103312 is 213301104.

It is a junction number, because it is equal to n+sod(n) for n = 401103291 and 401103300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769612 + ... + 770132.

Almost surely, 2401103312 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 401103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532581984).

401103312 is an abundant number, since it is smaller than the sum of its proper divisors (664060656).

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

401103312 is a wasteful number, since it uses less digits than its factorization.

401103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 401103312 is about 20027.5638059151. The cubic root of 401103312 is about 737.4831171851.

Adding to 401103312 its reverse (213301104), we get a palindrome (614404416).

The spelling of 401103312 in words is "four hundred one million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 373 516 521 688 746 1032 1042 1119 1492 1563 2064 2084 2238 2984 3126 4168 4476 5968 6252 8336 8952 12504 16039 17904 22403 25008 32078 44806 48117 64156 67209 89612 96234 128312 134418 179224 192468 194333 256624 268836 358448 384936 388666 537672 582999 769872 777332 1075344 1165998 1554664 2331996 3109328 4663992 8356319 9327984 16712638 25068957 33425276 50137914 66850552 100275828 133701104 200551656 401103312