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34393290 = 2355397223
BaseRepresentation
bin1000001100110…
…0110011001010
32101201100201120
42003030303022
532301041130
63225100110
7565223661
oct203146312
971640646
1034393290
1118461208
12b627636
137182879
1447d3dd8
153045910
hex20cccca

34393290 has 64 divisors (see below), whose sum is σ = 85349376. Its totient is φ = 8865792.

The previous prime is 34393267. The next prime is 34393297. The reversal of 34393290 is 9239343.

It is not an unprimeable number, because it can be changed into a prime (34393297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154119 + ... + 154341.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 234393290 is an apocalyptic number.

34393290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34393290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674688).

34393290 is an abundant number, since it is smaller than the sum of its proper divisors (50956086).

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

34393290 is a wasteful number, since it uses less digits than its factorization.

34393290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 34393290 is about 5864.5792687967. The cubic root of 34393290 is about 325.2055189246.

The spelling of 34393290 in words is "thirty-four million, three hundred ninety-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 97 106 159 194 223 265 291 318 446 485 530 582 669 795 970 1115 1338 1455 1590 2230 2910 3345 5141 6690 10282 11819 15423 21631 23638 25705 30846 35457 43262 51410 59095 64893 70914 77115 108155 118190 129786 154230 177285 216310 324465 354570 648930 1146443 2292886 3439329 5732215 6878658 11464430 17196645 34393290