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401394432 = 2833311579
BaseRepresentation
bin10111111011001…
…100101100000000
31000222021221122110
4113323030230000
51310224110212
6103455135320
712642540105
oct2773145400
91028257573
10401394432
1119663863a
12b2514540
136520c1ca
143b448aac
152538ba3c
hex17eccb00

401394432 has 72 divisors (see below), whose sum is σ = 1072200640. Its totient is φ = 133309440.

The previous prime is 401394421. The next prime is 401394443. The reversal of 401394432 is 234493104.

It is an interprime number because it is at equal distance from previous prime (401394421) and next prime (401394443).

It is a super-2 number, since 2×4013944322 = 322234980081205248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401394432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253419 + ... + 254997.

Almost surely, 2401394432 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 401394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536100320).

401394432 is an abundant number, since it is smaller than the sum of its proper divisors (670806208).

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

401394432 is a wasteful number, since it uses less digits than its factorization.

401394432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 401394432 is about 20034.8304709573. The cubic root of 401394432 is about 737.6614953050.

The spelling of 401394432 in words is "four hundred one million, three hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 331 384 662 768 993 1324 1579 1986 2648 3158 3972 4737 5296 6316 7944 9474 10592 12632 15888 18948 21184 25264 31776 37896 42368 50528 63552 75792 84736 101056 127104 151584 202112 254208 303168 404224 522649 606336 1045298 1212672 1567947 2090596 3135894 4181192 6271788 8362384 12543576 16724768 25087152 33449536 50174304 66899072 100348608 133798144 200697216 401394432