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401084440 = 23537271003
BaseRepresentation
bin10111111010000…
…001000000011000
31000221201012102021
4113322001000120
51310134200230
6103444344224
712640106251
oct2772010030
91027635367
10401084440
11196446749
12b23a5074
1365131093
143b3a7b28
1525329c7a
hex17e81018

401084440 has 32 divisors (see below), whose sum is σ = 926833680. Its totient is φ = 156097152.

The previous prime is 401084429. The next prime is 401084449. The reversal of 401084440 is 44480104.

It is a happy number.

It is a super-2 number, since 2×4010844402 = 321737456020227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401084449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 134022 + ... + 136981.

Almost surely, 2401084440 is an apocalyptic number.

401084440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401084440 is an abundant number, since it is smaller than the sum of its proper divisors (525749240).

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

401084440 is a wasteful number, since it uses less digits than its factorization.

401084440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271051 (or 271047 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 401084440 is about 20027.0926497083. The cubic root of 401084440 is about 737.4715507555.

The spelling of 401084440 in words is "four hundred one million, eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 271003 542006 1084012 1355015 2168024 2710030 5420060 10027111 10840120 20054222 40108444 50135555 80216888 100271110 200542220 401084440