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34111952 = 2471032957
BaseRepresentation
bin1000001000100…
…0000111010000
32101012001210122
42002020013100
532213040302
63215045412
7562642520
oct202100720
971161718
1034111952
11182898a6
12b510868
1370b47b4
14475d680
152edc3a2
hex20881d0

34111952 has 40 divisors (see below), whose sum is σ = 76292736. Its totient is φ = 14472576.

The previous prime is 34111949. The next prime is 34111981. The reversal of 34111952 is 25911143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10058 + ... + 13014.

Almost surely, 234111952 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 34111952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38146368).

34111952 is an abundant number, since it is smaller than the sum of its proper divisors (42180784).

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

34111952 is a wasteful number, since it uses less digits than its factorization.

34111952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3069 counting only the distinct ones).

The product of its digits is 1080, while the sum is 26.

The square root of 34111952 is about 5840.5438102971. The cubic root of 34111952 is about 324.3163602058.

The spelling of 34111952 in words is "thirty-four million, one hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 2957 5768 5914 11536 11828 20699 23656 41398 47312 82796 165592 304571 331184 609142 1218284 2131997 2436568 4263994 4873136 8527988 17055976 34111952