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34339932 = 223211175101
BaseRepresentation
bin1000001011111…
…1110001011100
32101121122112100
42002333301130
532242334212
63224005100
7564612264
oct202776134
971548470
1034339932
1118425110
12b600790
1371644b3
1447bc7a4
153034bdc
hex20bfc5c

34339932 has 72 divisors (see below), whose sum is σ = 100284912. Its totient is φ = 9792000.

The previous prime is 34339883. The next prime is 34339933. The reversal of 34339932 is 23993343.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (34339933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4182 + ... + 9282.

It is an arithmetic number, because the mean of its divisors is an integer number (1392846).

Almost surely, 234339932 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 34339932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50142456).

34339932 is an abundant number, since it is smaller than the sum of its proper divisors (65944980).

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

34339932 is a wasteful number, since it uses less digits than its factorization.

34339932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5134 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 34339932 is about 5860.0283275766. The cubic root of 34339932 is about 325.0372564784.

The spelling of 34339932 in words is "thirty-four million, three hundred thirty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 5101 6732 10202 15303 20404 30606 45909 56111 61212 86717 91818 112222 168333 173434 183636 224444 260151 336666 346868 504999 520302 673332 780453 953887 1009998 1040604 1560906 1907774 2019996 2861661 3121812 3815548 5723322 8584983 11446644 17169966 34339932