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401336430 = 23511319232
BaseRepresentation
bin10111111010111…
…110100001101110
31000222012000002020
4113322332201232
51310220231210
6103454011010
712642206025
oct2772764156
91028160066
10401336430
111965a9000
12b24a6a66
13651bb9a1
143b4318bc
1525379770
hex17ebe86e

401336430 has 192 divisors, whose sum is σ = 1165812480. Its totient is φ = 88165440.

The previous prime is 401336401. The next prime is 401336461. The reversal of 401336430 is 34633104.

It is a super-2 number, since 2×4013364302 = 322141860090289800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 401336430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17449399 + ... + 17449421.

It is an arithmetic number, because the mean of its divisors is an integer number (6071940).

Almost surely, 2401336430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401336430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582906240).

401336430 is an abundant number, since it is smaller than the sum of its proper divisors (764476050).

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

401336430 is a wasteful number, since it uses less digits than its factorization.

401336430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 401336430 is about 20033.3828895671. The cubic root of 401336430 is about 737.6259625890.

Adding to 401336430 its reverse (34633104), we get a palindrome (435969534).

The spelling of 401336430 in words is "four hundred one million, three hundred thirty-six thousand, four hundred thirty".