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34350148 = 2275379293
BaseRepresentation
bin1000001100001…
…0010001000100
32101122011112201
42003002101010
532243201043
63224124244
7564654130
oct203022104
971564481
1034350148
1118431858
12b606684
137169041
1447c23c0
153037c4d
hex20c2444

34350148 has 48 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 14212224.

The previous prime is 34350143. The next prime is 34350161. The reversal of 34350148 is 84105343.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34350143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117090 + ... + 117382.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 234350148 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 34350148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

34350148 is an abundant number, since it is smaller than the sum of its proper divisors (36774332).

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

34350148 is a wasteful number, since it uses less digits than its factorization.

34350148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 34350148 is about 5860.8999308980. The cubic root of 34350148 is about 325.0694857345.

The spelling of 34350148 in words is "thirty-four million, three hundred fifty thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 53 79 106 158 212 293 316 371 553 586 742 1106 1172 1484 2051 2212 4102 4187 8204 8374 15529 16748 23147 29309 31058 46294 58618 62116 92588 108703 117236 162029 217406 324058 434812 648116 1226791 2453582 4907164 8587537 17175074 34350148