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401032134 = 2351316299
BaseRepresentation
bin10111111001110…
…100001111000110
31000221121112200000
4113321310033012
51310131012014
6103443302130
712636500616
oct2771641706
91027545600
10401032134
11196410418
12b237a946
1365113329
143b392a46
1525319509
hex17e743c6

401032134 has 48 divisors (see below), whose sum is σ = 908107200. Its totient is φ = 132635880.

The previous prime is 401032133. The next prime is 401032169. The reversal of 401032134 is 431230104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401032133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60517 + ... + 66815.

It is an arithmetic number, because the mean of its divisors is an integer number (18918900).

Almost surely, 2401032134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401032134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454053600).

401032134 is an abundant number, since it is smaller than the sum of its proper divisors (507075066).

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

401032134 is a wasteful number, since it uses less digits than its factorization.

401032134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401032134 is about 20025.7867261189. The cubic root of 401032134 is about 737.4394911191.

Adding to 401032134 its reverse (431230104), we get a palindrome (832262238).

The spelling of 401032134 in words is "four hundred one million, thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 243 262 393 486 786 1179 2358 3537 6299 7074 10611 12598 18897 21222 31833 37794 56691 63666 113382 170073 340146 510219 825169 1020438 1530657 1650338 2475507 3061314 4951014 7426521 14853042 22279563 44559126 66838689 133677378 200516067 401032134