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34348950 = 23252372063
BaseRepresentation
bin1000001100000…
…1111110010110
32101122002220100
42003001332112
532243131300
63224114530
7564650466
oct203017626
971562810
1034348950
1118430969
12b605a46
13716862c
1447c1ba6
153037700
hex20c1f96

34348950 has 72 divisors (see below), whose sum is σ = 94824288. Its totient is φ = 8907840.

The previous prime is 34348921. The next prime is 34348967. The reversal of 34348950 is 5984343.

It is a super-2 number, since 2×343489502 = 2359700732205000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15619 + ... + 17681.

It is an arithmetic number, because the mean of its divisors is an integer number (1317004).

Almost surely, 234348950 is an apocalyptic number.

34348950 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 34348950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47412144).

34348950 is an abundant number, since it is smaller than the sum of its proper divisors (60475338).

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

34348950 is a wasteful number, since it uses less digits than its factorization.

34348950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34348950 is about 5860.7977272723. The cubic root of 34348950 is about 325.0657066360.

The spelling of 34348950 in words is "thirty-four million, three hundred forty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2063 2775 3330 4126 5550 6189 8325 10315 12378 16650 18567 20630 30945 37134 51575 61890 76331 92835 103150 152662 154725 185670 228993 309450 381655 457986 464175 686979 763310 928350 1144965 1373958 1908275 2289930 3434895 3816550 5724825 6869790 11449650 17174475 34348950