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401466330 = 232516726711
BaseRepresentation
bin10111111011011…
…110001111011010
31000222102121021100
4113323132033122
51310233410310
6103500452230
712643256526
oct2773361732
91028377240
10401466330
11196687661
12b254a076
1365235b55
143b466d86
15253a2ec0
hex17ede3da

401466330 has 48 divisors (see below), whose sum is σ = 1050102144. Its totient is φ = 106412640.

The previous prime is 401466319. The next prime is 401466397. The reversal of 401466330 is 33664104.

It is a super-2 number, since 2×4014663302 = 322350428247337800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401466294 and 401466303.

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, 1675 + ... + 28385.

It is an arithmetic number, because the mean of its divisors is an integer number (21877128).

Almost surely, 2401466330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401466330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525051072).

401466330 is an abundant number, since it is smaller than the sum of its proper divisors (648635814).

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

401466330 is a wasteful number, since it uses less digits than its factorization.

401466330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26891 (or 26888 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 401466330 is about 20036.6247157549. The cubic root of 401466330 is about 737.7055361250.

The spelling of 401466330 in words is "four hundred one million, four hundred sixty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7515 15030 26711 53422 80133 133555 160266 240399 267110 400665 480798 801330 1201995 2403990 4460737 8921474 13382211 22303685 26764422 40146633 44607370 66911055 80293266 133822110 200733165 401466330