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34012440 = 23335711409
BaseRepresentation
bin1000000110111…
…1110100011000
32101000000022000
42001233310120
532201344230
63213001000
7562046430
oct201576430
971000260
1034012440
1118221060
12b483160
13707b407
1447352c0
152ebcb60
hex206fd18

34012440 has 256 divisors, whose sum is σ = 141696000. Its totient is φ = 7050240.

The previous prime is 34012439. The next prime is 34012453. The reversal of 34012440 is 4421043.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82956 + ... + 83364.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 234012440 is an apocalyptic number.

34012440 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 34012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70848000).

34012440 is an abundant number, since it is smaller than the sum of its proper divisors (107683560).

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

34012440 is a wasteful number, since it uses less digits than its factorization.

34012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

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

The square root of 34012440 is about 5832.0185184891. The cubic root of 34012440 is about 324.0006858696. Note that the first 3 decimals are identical.

Adding to 34012440 its reverse (4421043), we get a palindrome (38433483).

The spelling of 34012440 in words is "thirty-four million, twelve thousand, four hundred forty".