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34209372 = 22317232317
BaseRepresentation
bin1000001001111…
…1111001011100
32101101000102210
42002133321130
532224144442
63221120420
7563526531
oct202377134
971330383
1034209372
111834600a
12b559110
137119c42
144786d88
15300b19c
hex209fe5c

34209372 has 72 divisors (see below), whose sum is σ = 88630416. Its totient is φ = 10233344.

The previous prime is 34209361. The next prime is 34209377. The reversal of 34209372 is 27390243.

It is a super-2 number, since 2×342093722 = 2340562265268768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34209377) 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, 107758 + ... + 108074.

It is an arithmetic number, because the mean of its divisors is an integer number (1230978).

Almost surely, 234209372 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 34209372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44315208).

34209372 is an abundant number, since it is smaller than the sum of its proper divisors (54421044).

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

34209372 is a wasteful number, since it uses less digits than its factorization.

34209372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 34209372 is about 5848.8778410905. The cubic root of 34209372 is about 324.6248041031.

The spelling of 34209372 in words is "thirty-four million, two hundred nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 317 391 529 634 782 951 1058 1173 1268 1564 1587 1902 2116 2346 3174 3804 4692 5389 6348 7291 8993 10778 14582 16167 17986 21556 21873 26979 29164 32334 35972 43746 53958 64668 87492 107916 123947 167693 247894 335386 371841 495788 503079 670772 743682 1006158 1487364 2012316 2850781 5701562 8552343 11403124 17104686 34209372