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34231423416 = 2331975068911
BaseRepresentation
bin11111111000010110…
…100001000110111000
310021100122110111001220
4133320112201012320
51030101221022131
623420430112040
72321200204161
oct377026410670
9107318414056
1034231423416
1113576823083
12677404b620
1332c6c23938
14192a400768
15d55363e96
hex7f85a11b8

34231423416 has 32 divisors (see below), whose sum is σ = 90082694400. Its totient is φ = 10809923040.

The previous prime is 34231423393. The next prime is 34231423417. The reversal of 34231423416 is 61432413243.

It is a super-3 number, since 3×342314234163 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231423417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37534000 + ... + 37534911.

It is an arithmetic number, because the mean of its divisors is an integer number (2815084200).

Almost surely, 234231423416 is an apocalyptic number.

It is an amenable number.

34231423416 is an abundant number, since it is smaller than the sum of its proper divisors (55851270984).

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

34231423416 is a wasteful number, since it uses less digits than its factorization.

34231423416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75068939 (or 75068935 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 34231423416 its reverse (61432413243), we get a palindrome (95663836659).

The spelling of 34231423416 in words is "thirty-four billion, two hundred thirty-one million, four hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 75068911 150137822 225206733 300275644 450413466 600551288 900826932 1426309309 1801653864 2852618618 4278927927 5705237236 8557855854 11410474472 17115711708 34231423416