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34208028 = 2233383827
BaseRepresentation
bin1000001001111…
…1100100011100
32101100221121000
42002133210130
532224124103
63221110300
7563522601
oct202374434
971327530
1034208028
1118344aa8
12b558390
13711944a
1447866a8
15300aaa3
hex209f91c

34208028 has 48 divisors (see below), whose sum is σ = 89026560. Its totient is φ = 11359152.

The previous prime is 34208021. The next prime is 34208047. The reversal of 34208028 is 82080243.

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 = 34207992 and 34208010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34208021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40951 + ... + 41777.

It is an arithmetic number, because the mean of its divisors is an integer number (1854720).

Almost surely, 234208028 is an apocalyptic number.

It is an amenable number.

34208028 is an abundant number, since it is smaller than the sum of its proper divisors (54818532).

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

34208028 is a wasteful number, since it uses less digits than its factorization.

34208028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34208028 is about 5848.7629461280. The cubic root of 34208028 is about 324.6205528173.

The spelling of 34208028 in words is "thirty-four million, two hundred eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 383 766 827 1149 1532 1654 2298 2481 3308 3447 4596 4962 6894 7443 9924 10341 13788 14886 20682 22329 29772 41364 44658 89316 316741 633482 950223 1266964 1900446 2850669 3800892 5701338 8552007 11402676 17104014 34208028