Search a number
-
+
401234232 = 233710921911
BaseRepresentation
bin10111111010100…
…101100100111000
31000221222210220010
4113322211210320
51310203443412
6103451501520
712641302050
oct2772454470
91027883803
10401234232
11196539243
12b24578a0
1365184309
143b406560
152535933c
hex17ea5938

401234232 has 64 divisors (see below), whose sum is σ = 1156953600. Its totient is φ = 113581440.

The previous prime is 401234231. The next prime is 401234233. The reversal of 401234232 is 232432104.

It is an interprime number because it is at equal distance from previous prime (401234231) and next prime (401234233).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 401234199 and 401234208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401234231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7357 + ... + 29267.

It is an arithmetic number, because the mean of its divisors is an integer number (18077400).

Almost surely, 2401234232 is an apocalyptic number.

401234232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401234232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578476800).

401234232 is an abundant number, since it is smaller than the sum of its proper divisors (755719368).

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

401234232 is a wasteful number, since it uses less digits than its factorization.

401234232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22036 (or 22032 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 401234232 is about 20030.8320346410. The cubic root of 401234232 is about 737.5633465458.

Adding to 401234232 its reverse (232432104), we get a palindrome (633666336).

The spelling of 401234232 in words is "four hundred one million, two hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 436 654 763 872 1308 1526 2289 2616 3052 4578 6104 9156 18312 21911 43822 65733 87644 131466 153377 175288 262932 306754 460131 525864 613508 920262 1227016 1840524 2388299 3681048 4776598 7164897 9553196 14329794 16718093 19106392 28659588 33436186 50154279 57319176 66872372 100308558 133744744 200617116 401234232