Search a number
-
+
40346010 = 2325617349
BaseRepresentation
bin1001100111101…
…0000110011010
32210220210022200
42121322012122
540312033020
64000431030
7666635565
oct231720632
983823280
1040346010
1120857611
1211618476
1384881a3
1455034dc
15381e590
hex267a19a

40346010 has 48 divisors (see below), whose sum is σ = 106633800. Its totient is φ = 10581120.

The previous prime is 40345999. The next prime is 40346039. The reversal of 40346010 is 1064304.

40346010 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 4 ways, for example, as 24830289 + 15515721 = 4983^2 + 3939^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1816 + ... + 9164.

Almost surely, 240346010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40346010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53316900).

40346010 is an abundant number, since it is smaller than the sum of its proper divisors (66287790).

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

40346010 is a wasteful number, since it uses less digits than its factorization.

40346010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40346010 is about 6351.8509113486. The cubic root of 40346010 is about 342.9784741709.

The spelling of 40346010 in words is "forty million, three hundred forty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 7349 14698 22047 36745 44094 66141 73490 110235 132282 220470 330705 448289 661410 896578 1344867 2241445 2689734 4034601 4482890 6724335 8069202 13448670 20173005 40346010