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400141350 = 233527223263
BaseRepresentation
bin10111110110011…
…010110000100110
31000212221021202000
4113312122300212
51304414010400
6103412230130
712626100600
oct2766326046
91025837660
10400141350
11195962134
12b200b346
1364b90a3b
143b200170
15251e0600
hex17d9ac26

400141350 has 288 divisors, whose sum is σ = 1343485440. Its totient is φ = 87151680.

The previous prime is 400141337. The next prime is 400141351. The reversal of 400141350 is 53141004.

It is a happy number.

It is a super-2 number, since 2×4001413502 = 320226199959645000, which contains 22 as substring.

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 (400141351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1521319 + ... + 1521581.

It is an arithmetic number, because the mean of its divisors is an integer number (4664880).

Almost surely, 2400141350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400141350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671742720).

400141350 is an abundant number, since it is smaller than the sum of its proper divisors (943344090).

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

400141350 is a wasteful number, since it uses less digits than its factorization.

400141350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 400141350 is about 20003.5334378704. The cubic root of 400141350 is about 736.8930791490.

Adding to 400141350 its reverse (53141004), we get a palindrome (453282354).

The spelling of 400141350 in words is "four hundred million, one hundred forty-one thousand, three hundred fifty".