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40978340 = 225133972
BaseRepresentation
bin1001110001010…
…0011110100100
32212002220201022
42130110132210
540442301330
64022150312
71005211244
oct234243644
985086638
1040978340
11211496a7
1211882398
138649c50
145629b24
1538e6ae5
hex27147a4

40978340 has 36 divisors (see below), whose sum is σ = 92908116. Its totient is φ = 15092352.

The previous prime is 40978309. The next prime is 40978361. The reversal of 40978340 is 4387904.

It can be written as a sum of positive squares in 6 ways, for example, as 350464 + 40627876 = 592^2 + 6374^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40978340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103022 + ... + 103418.

It is an arithmetic number, because the mean of its divisors is an integer number (2580781).

Almost surely, 240978340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40978340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46454058).

40978340 is an abundant number, since it is smaller than the sum of its proper divisors (51929776).

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

40978340 is a wasteful number, since it uses less digits than its factorization.

40978340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 40978340 is about 6401.4326521490. The cubic root of 40978340 is about 344.7609910775.

The spelling of 40978340 in words is "forty million, nine hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 397 794 1588 1985 3970 5161 7940 10322 20644 25805 51610 103220 157609 315218 630436 788045 1576090 2048917 3152180 4097834 8195668 10244585 20489170 40978340