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401434124 = 2271317292237
BaseRepresentation
bin10111111011010…
…110011000001100
31000222100222002112
4113323112120030
51310231342444
6103500043152
712643063610
oct2773263014
91028328075
10401434124
11196665443
12b25334b8
13652242b0
143b459340
152539869e
hex17ed660c

401434124 has 96 divisors (see below), whose sum is σ = 947479680. Its totient is φ = 144248832.

The previous prime is 401434091. The next prime is 401434129. The reversal of 401434124 is 421434104.

It is a happy number.

It is a super-2 number, since 2×4014341242 = 322298711823294752, 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 401434124.

It is not an unprimeable number, because it can be changed into a prime (401434129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178334 + ... + 180570.

It is an arithmetic number, because the mean of its divisors is an integer number (9869580).

Almost surely, 2401434124 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 401434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473739840).

401434124 is an abundant number, since it is smaller than the sum of its proper divisors (546045556).

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

401434124 is a wasteful number, since it uses less digits than its factorization.

401434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 401434124 is about 20035.8210213607. The cubic root of 401434124 is about 737.6858091242.

Adding to 401434124 its reverse (421434104), we get a palindrome (822868228).

The spelling of 401434124 in words is "four hundred one million, four hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 17 26 28 29 34 52 58 68 91 116 119 182 203 221 238 364 377 406 442 476 493 754 812 884 986 1508 1547 1972 2237 2639 3094 3451 4474 5278 6188 6409 6902 8948 10556 12818 13804 15659 25636 29081 31318 38029 44863 58162 62636 64873 76058 89726 116324 129746 152116 179452 203567 259492 266203 407134 454111 494377 532406 814268 843349 908222 988754 1064812 1102841 1686698 1816444 1977508 2205682 3373396 3460639 4411364 5903443 6921278 7719887 11806886 13842556 14336933 15439774 23613772 28673866 30879548 57347732 100358531 200717062 401434124