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34007481 = 328814289
BaseRepresentation
bin1000000110111…
…0100110111001
32100222202111100
42001232212321
532201214411
63212522013
7562026114
oct201564671
970882440
1034007481
1118218362
12b480309
137079091
14473357b
152ebb456
hex206e9b9

34007481 has 12 divisors (see below), whose sum is σ = 49189140. Its totient is φ = 22640640.

The previous prime is 34007471. The next prime is 34007543. The reversal of 34007481 is 18470043.

34007481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20169081 + 13838400 = 4491^2 + 3720^2 .

It is not a de Polignac number, because 34007481 - 27 = 34007353 is a prime.

It is a super-2 number, since 2×340074812 = 2313017527930722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34007411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5785 + ... + 10073.

It is an arithmetic number, because the mean of its divisors is an integer number (4099095).

Almost surely, 234007481 is an apocalyptic number.

It is an amenable number.

34007481 is a deficient number, since it is larger than the sum of its proper divisors (15181659).

34007481 is a wasteful number, since it uses less digits than its factorization.

34007481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34007481 is about 5831.5933500202. The cubic root of 34007481 is about 323.9849387146.

The spelling of 34007481 in words is "thirty-four million, seven thousand, four hundred eighty-one".

Divisors: 1 3 9 881 2643 4289 7929 12867 38601 3778609 11335827 34007481