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34220040 = 23351991433
BaseRepresentation
bin1000001010001…
…0100000001000
32101101120001220
42002202200020
532230020130
63221242040
7563602611
oct202424010
971346056
1034220040
1118353028
12b563320
137121a5a
14478ac08
15300e410
hex20a2808

34220040 has 64 divisors (see below), whose sum is σ = 103248000. Its totient is φ = 9073152.

The previous prime is 34220027. The next prime is 34220047. The reversal of 34220040 is 4002243.

It is a happy number.

It is a super-2 number, since 2×342200402 = 2342022275203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (34220047) 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, 23164 + ... + 24596.

It is an arithmetic number, because the mean of its divisors is an integer number (1613250).

Almost surely, 234220040 is an apocalyptic number.

34220040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51624000).

34220040 is an abundant number, since it is smaller than the sum of its proper divisors (69027960).

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

34220040 is a wasteful number, since it uses less digits than its factorization.

34220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34220040 is about 5849.7897398112. The cubic root of 34220040 is about 324.6585447350.

Adding to 34220040 its reverse (4002243), we get a palindrome (38222283).

The spelling of 34220040 in words is "thirty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1433 1592 1990 2388 2866 2985 3980 4299 4776 5732 5970 7165 7960 8598 11464 11940 14330 17196 21495 23880 28660 34392 42990 57320 85980 171960 285167 570334 855501 1140668 1425835 1711002 2281336 2851670 3422004 4277505 5703340 6844008 8555010 11406680 17110020 34220040