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401342032 = 24713373739
BaseRepresentation
bin10111111010111…
…111111001010000
31000222012021202201
4113322333321100
51310220421112
6103454052544
712642231250
oct2772777120
91028167681
10401342032
11196602233
12b24aa154
13651c13c0
143b433960
152537b257
hex17ebfe50

401342032 has 80 divisors (see below), whose sum is σ = 960910720. Its totient is φ = 158132736.

The previous prime is 401342009. The next prime is 401342047. The reversal of 401342032 is 230243104.

It is a super-2 number, since 2×4013420322 = 322150853299778048, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 542719 + ... + 543457.

It is an arithmetic number, because the mean of its divisors is an integer number (12011384).

Almost surely, 2401342032 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 401342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480455360).

401342032 is an abundant number, since it is smaller than the sum of its proper divisors (559568688).

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

401342032 is a wasteful number, since it uses less digits than its factorization.

401342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 401342032 is about 20033.5227057051. The cubic root of 401342032 is about 737.6293945902.

Adding to 401342032 its reverse (230243104), we get a palindrome (631585136).

The spelling of 401342032 in words is "four hundred one million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 373 728 739 746 1456 1478 1492 2611 2956 2984 4849 5173 5222 5912 5968 9607 9698 10346 10444 11824 19214 19396 20692 20888 33943 38428 38792 41384 41776 67249 67886 76856 77584 82768 134498 135772 153712 268996 271544 275647 537992 543088 551294 1075984 1102588 1929529 2205176 3583411 3859058 4410352 7166822 7718116 14333644 15436232 25083877 28667288 30872464 50167754 57334576 100335508 200671016 401342032