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401304276 = 2232232112297
BaseRepresentation
bin10111111010110…
…110101011010100
31000222010100222100
4113322312223110
51310213214101
6103453202100
712642013212
oct2772665324
91028110870
10401304276
1119658692a
12b2490330
13651aa169
143b423cb2
152536ee86
hex17eb6ad4

401304276 has 72 divisors (see below), whose sum is σ = 1063992384. Its totient is φ = 127290240.

The previous prime is 401304199. The next prime is 401304289. The reversal of 401304276 is 672403104.

It is a super-2 number, since 2×4013042762 = 322090243871768352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173560 + ... + 175856.

It is an arithmetic number, because the mean of its divisors is an integer number (14777672).

Almost surely, 2401304276 is an apocalyptic number.

401304276 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401304276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531996192).

401304276 is an abundant number, since it is smaller than the sum of its proper divisors (662688108).

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

401304276 is a wasteful number, since it uses less digits than its factorization.

401304276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 401304276 is about 20032.5803629987. The cubic root of 401304276 is about 737.6062631906.

The spelling of 401304276 in words is "four hundred one million, three hundred four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 211 276 414 422 633 828 844 1266 1899 2297 2532 3798 4594 4853 6891 7596 9188 9706 13782 14559 19412 20673 27564 29118 41346 43677 52831 58236 82692 87354 105662 158493 174708 211324 316986 475479 484667 633972 950958 969334 1454001 1901916 1938668 2908002 4362003 5816004 8724006 11147341 17448012 22294682 33442023 44589364 66884046 100326069 133768092 200652138 401304276