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431432034 = 23112673883
BaseRepresentation
bin11001101101110…
…010000101100010
31010001211000111020
4121231302011202
51340421311114
6110451030310
713456053225
oct3155620542
91101730436
10431432034
11201594300
1210059b396
136b4c8337
14414275bc
1527d21aa9
hex19b72162

431432034 has 48 divisors (see below), whose sum is σ = 950922336. Its totient is φ = 130394880.

The previous prime is 431432021. The next prime is 431432051. The reversal of 431432034 is 430234134.

It is a super-2 number, since 2×4314320342 = 372267199922754312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431431995 and 431432013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488157 + ... + 489039.

It is an arithmetic number, because the mean of its divisors is an integer number (19810882).

Almost surely, 2431432034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431432034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475461168).

431432034 is an abundant number, since it is smaller than the sum of its proper divisors (519490302).

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

431432034 is a wasteful number, since it uses less digits than its factorization.

431432034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 431432034 is about 20770.9420585586. The cubic root of 431432034 is about 755.6211919030.

Adding to 431432034 its reverse (430234134), we get a palindrome (861666168).

The spelling of 431432034 in words is "four hundred thirty-one million, four hundred thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 673 726 883 1346 1766 2019 2649 4038 5298 7403 9713 14806 19426 22209 29139 44418 58278 81433 106843 162866 213686 244299 320529 488598 594259 641058 1188518 1782777 3565554 6536849 13073698 19610547 39221094 71905339 143810678 215716017 431432034