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34838190 = 23252691439
BaseRepresentation
bin1000010011100…
…1011010101110
32102112222000100
42010321122232
532404310230
63242411530
7602056032
oct204713256
972488010
1034838190
11187354a2
12b800ba6
1372aa21a
1448ac1c2
1530d2660
hex21396ae

34838190 has 48 divisors (see below), whose sum is σ = 90979200. Its totient is φ = 9249216.

The previous prime is 34838189. The next prime is 34838197. The reversal of 34838190 is 9183843.

34838190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×348381902 = 2427398964952200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34838197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23491 + ... + 24929.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 234838190 is an apocalyptic number.

34838190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34838190 is an abundant number, since it is smaller than the sum of its proper divisors (56141010).

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

34838190 is a wasteful number, since it uses less digits than its factorization.

34838190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34838190 is about 5902.3884995822. The cubic root of 34838190 is about 326.6017653007.

The spelling of 34838190 in words is "thirty-four million, eight hundred thirty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 269 538 807 1345 1439 1614 2421 2690 2878 4035 4317 4842 7195 8070 8634 12105 12951 14390 21585 24210 25902 43170 64755 129510 387091 774182 1161273 1935455 2322546 3483819 3870910 5806365 6967638 11612730 17419095 34838190