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401348808 = 233272113761
BaseRepresentation
bin10111111011000…
…001100011001000
31000222012122001200
4113323001203020
51310221130213
6103454144200
712642260100
oct2773014310
91028178050
10401348808
11196607333
12b24b2060
13651c4503
143b436200
152537d273
hex17ec18c8

401348808 has 72 divisors (see below), whose sum is σ = 1264464630. Its totient is φ = 114670080.

The previous prime is 401348747. The next prime is 401348809. The reversal of 401348808 is 808843104.

It can be written as a sum of positive squares in only one way, i.e., 355624164 + 45724644 = 18858^2 + 6762^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4013488082 = 322161731366041728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401348809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53353 + ... + 60408.

Almost surely, 2401348808 is an apocalyptic number.

It is an amenable number.

401348808 is an abundant number, since it is smaller than the sum of its proper divisors (863115822).

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

401348808 is a wasteful number, since it uses less digits than its factorization.

401348808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113787 (or 113773 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 401348808 is about 20033.6918215291. The cubic root of 401348808 is about 737.6335457865.

The spelling of 401348808 in words is "four hundred one million, three hundred forty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 113761 227522 341283 455044 682566 796327 910088 1023849 1365132 1592654 2047698 2388981 2730264 3185308 4095396 4777962 5574289 6370616 7166943 8190792 9555924 11148578 14333886 16722867 19111848 22297156 28667772 33445734 44594312 50168601 57335544 66891468 100337202 133782936 200674404 401348808