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34534431 = 352337167
BaseRepresentation
bin1000001110111…
…1010000011111
32101222112100000
42003233100133
532320100211
63232105343
7566352321
oct203572037
971875300
1034534431
1118548258
12b695253
137201b99
14482d611
153072656
hex20ef41f

34534431 has 48 divisors (see below), whose sum is σ = 55770624. Its totient is φ = 21298464.

The previous prime is 34534427. The next prime is 34534453. The reversal of 34534431 is 13443543.

It is not a de Polignac number, because 34534431 - 22 = 34534427 is a prime.

It is a super-2 number, since 2×345344312 = 2385253848987522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34534395 and 34534404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34534831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206710 + ... + 206876.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 234534431 is an apocalyptic number.

34534431 is a deficient number, since it is larger than the sum of its proper divisors (21236193).

34534431 is a wasteful number, since it uses less digits than its factorization.

34534431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 34534431 is about 5876.6002926862. The cubic root of 34534431 is about 325.6497643764.

Adding to 34534431 its reverse (13443543), we get a palindrome (47977974).

The spelling of 34534431 in words is "thirty-four million, five hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 23 27 37 69 81 111 167 207 243 333 501 621 851 999 1503 1863 2553 2997 3841 4509 5589 6179 7659 8991 11523 13527 18537 22977 34569 40581 55611 68931 103707 142117 166833 206793 311121 426351 500499 933363 1279053 1501497 3837159 11511477 34534431