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401400340 = 2251117910193
BaseRepresentation
bin10111111011001…
…110001000010100
31000222022020202021
4113323032020110
51310224302330
6103455222524
712642563245
oct2773161024
91028266667
10401400340
11196642020
12b2517a44
1365211ac3
143b44accc
152538d67a
hex17ece214

401400340 has 48 divisors (see below), whose sum is σ = 924799680. Its totient is φ = 145134080.

The previous prime is 401400211. The next prime is 401400401. The reversal of 401400340 is 43004104.

It is a super-2 number, since 2×4014003402 = 322244465904231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34284 + ... + 44476.

It is an arithmetic number, because the mean of its divisors is an integer number (19266660).

Almost surely, 2401400340 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 401400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462399840).

401400340 is an abundant number, since it is smaller than the sum of its proper divisors (523399340).

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

401400340 is a wasteful number, since it uses less digits than its factorization.

401400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 401400340 is about 20034.9779136389. The cubic root of 401400340 is about 737.6651144240.

Adding to 401400340 its reverse (43004104), we get a palindrome (444404444).

The spelling of 401400340 in words is "four hundred one million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7876 9845 10193 19690 20386 39380 40772 50965 101930 112123 203860 224246 448492 560615 1121230 1824547 2242460 3649094 7298188 9122735 18245470 20070017 36490940 40140034 80280068 100350085 200700170 401400340