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632241342 = 233233116421
BaseRepresentation
bin100101101011110…
…011110010111110
31122001200012002000
4211223303302332
52243323210332
6142423043130
721444651135
oct4553636276
91561605060
10632241342
112a497a307
121578a04a6
13a0ca6b05
145dd7a91c
153a78ab7c
hex25af3cbe

632241342 has 64 divisors (see below), whose sum is σ = 1513451520. Its totient is φ = 195069600.

The previous prime is 632241329. The next prime is 632241343. The reversal of 632241342 is 243142236.

632241342 is a `hidden beast` number, since 632 + 24 + 1 + 3 + 4 + 2 = 666.

It is a super-2 number, since 2×6322413422 = 799458229067921928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632241343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30292 + ... + 46712.

It is an arithmetic number, because the mean of its divisors is an integer number (23647680).

Almost surely, 2632241342 is an apocalyptic number.

632241342 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 632241342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756725760).

632241342 is an abundant number, since it is smaller than the sum of its proper divisors (881210178).

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

632241342 is a wasteful number, since it uses less digits than its factorization.

632241342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16486 (or 16480 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 632241342 is about 25144.4097564449. The cubic root of 632241342 is about 858.2773077915.

Adding to 632241342 its reverse (243142236), we get a palindrome (875383578).

The spelling of 632241342 in words is "six hundred thirty-two million, two hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 558 621 713 837 1242 1426 1674 2139 4278 6417 12834 16421 19251 32842 38502 49263 98526 147789 295578 377683 443367 509051 755366 886734 1018102 1133049 1527153 2266098 3054306 3399147 4581459 6798294 9162918 10197441 11708173 13744377 20394882 23416346 27488754 35124519 70249038 105373557 210747114 316120671 632241342