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34078842 = 2327307881
BaseRepresentation
bin1000001000000…
…0000001111010
32101010101101100
42002000001322
532211010332
63214232230
7562444140
oct202000172
971111340
1034078842
1118266a36
12b4b5676
1370a26c5
144751590
152ed267c
hex208007a

34078842 has 48 divisors (see below), whose sum is σ = 84756672. Its totient is φ = 9694080.

The previous prime is 34078823. The next prime is 34078843. The reversal of 34078842 is 24887043.

It is a super-2 number, since 2×340788422 = 2322734944121928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34078797 and 34078806.

It is not an unprimeable number, because it can be changed into a prime (34078843) by changing a digit.

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, 38242 + ... + 39122.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 234078842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34078842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42378336).

34078842 is an abundant number, since it is smaller than the sum of its proper divisors (50677830).

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

34078842 is a wasteful number, since it uses less digits than its factorization.

34078842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34078842 is about 5837.7086258223. The cubic root of 34078842 is about 324.2113961080.

The spelling of 34078842 in words is "thirty-four million, seventy-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 307 614 881 921 1762 1842 2149 2643 2763 4298 5286 5526 6167 6447 7929 12334 12894 15858 18501 19341 37002 38682 55503 111006 270467 540934 811401 1622802 1893269 2434203 3786538 4868406 5679807 11359614 17039421 34078842