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34250040 = 2334511312
BaseRepresentation
bin1000001010100…
…1110100111000
32101110002020000
42002221310320
532232000130
63222033000
7564056226
oct202516470
971402200
1034250040
1118373620
12b578760
1371325c6
144797b16
153018260
hex20a9d38

34250040 has 240 divisors, whose sum is σ = 129765240. Its totient is φ = 8035200.

The previous prime is 34250023. The next prime is 34250057. The reversal of 34250040 is 4005243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34250023) and next prime (34250057).

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

It is a junction number, because it is equal to n+sod(n) for n = 34249995 and 34250022.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1104825 + ... + 1104855.

Almost surely, 234250040 is an apocalyptic number.

34250040 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 34250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64882620).

34250040 is an abundant number, since it is smaller than the sum of its proper divisors (95515200).

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

34250040 is a wasteful number, since it uses less digits than its factorization.

34250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34250040 is about 5852.3533727894. The cubic root of 34250040 is about 324.7533908302.

Adding to 34250040 its reverse (4005243), we get a palindrome (38255283).

The spelling of 34250040 in words is "thirty-four million, two hundred fifty thousand, forty".