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3423141432 = 2333371074003
BaseRepresentation
bin1100110000001000…
…1111111000111000
322211120020121021000
43030002033320320
524002311011212
61323401445000
7150554136114
oct31402177070
98746217230
103423141432
1114a7301907
127b64a0760
13427269099
142468b2744
151507c91dc
hexcc08fe38

3423141432 has 128 divisors (see below), whose sum is σ = 9859449600. Its totient is φ = 1099557504.

The previous prime is 3423141413. The next prime is 3423141433. The reversal of 3423141432 is 2341413243.

3423141432 is a `hidden beast` number, since 342 + 314 + 1 + 4 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3423141396 and 3423141405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423141433) 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, 853143 + ... + 857145.

It is an arithmetic number, because the mean of its divisors is an integer number (77026950).

Almost surely, 23423141432 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 3423141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929724800).

3423141432 is an abundant number, since it is smaller than the sum of its proper divisors (6436308168).

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

3423141432 is a wasteful number, since it uses less digits than its factorization.

3423141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4152 counting only the distinct ones).

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

The square root of 3423141432 is about 58507.6185808310. The cubic root of 3423141432 is about 1507.0984193071.

Adding to 3423141432 its reverse (2341413243), we get a palindrome (5764554675).

The spelling of 3423141432 in words is "three billion, four hundred twenty-three million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 107 108 111 148 214 216 222 296 321 333 428 444 642 666 856 888 963 999 1284 1332 1926 1998 2568 2664 2889 3852 3959 3996 4003 5778 7704 7918 7992 8006 11556 11877 12009 15836 16012 23112 23754 24018 31672 32024 35631 36027 47508 48036 71262 72054 95016 96072 106893 108081 142524 144108 148111 213786 216162 285048 288216 296222 427572 428321 432324 444333 592444 855144 856642 864648 888666 1184888 1284963 1332999 1713284 1777332 2569926 2665998 3426568 3554664 3854889 3998997 5139852 5331996 7709778 7997994 10279704 10663992 11564667 15419556 15847877 15995988 23129334 30839112 31695754 31991976 46258668 47543631 63391508 92517336 95087262 126783016 142630893 190174524 285261786 380349048 427892679 570523572 855785358 1141047144 1711570716 3423141432