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34214040 = 23325713577
BaseRepresentation
bin1000001010000…
…1000010011000
32101101020211200
42002201002120
532224322130
63221154200
7563546250
oct202410230
971336750
1034214040
1118349573
12b55b960
13711c0c3
144788960
15300c760
hex20a1098

34214040 has 96 divisors (see below), whose sum is σ = 127090080. Its totient is φ = 7819776.

The previous prime is 34214039. The next prime is 34214051. The reversal of 34214040 is 4041243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4269 + ... + 9308.

It is an arithmetic number, because the mean of its divisors is an integer number (1323855).

Almost surely, 234214040 is an apocalyptic number.

34214040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34214040 is an abundant number, since it is smaller than the sum of its proper divisors (92876040).

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

34214040 is a wasteful number, since it uses less digits than its factorization.

34214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13601 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34214040 is about 5849.2768783842. The cubic root of 34214040 is about 324.6395688646.

Adding to 34214040 its reverse (4041243), we get a palindrome (38255283).

The spelling of 34214040 in words is "thirty-four million, two hundred fourteen thousand, forty".