Search a number
-
+
40974336 = 211341319
BaseRepresentation
bin1001110001001…
…1100000000000
32212002201020000
42130103200000
540442134321
64022120000
71005163464
oct234234000
985081200
1040974336
1121146697
1211880000
138648190
1456284a4
1538e5826
hex2713800

40974336 has 240 divisors, whose sum is σ = 138738600. Its totient is φ = 11943936.

The previous prime is 40974289. The next prime is 40974347. The reversal of 40974336 is 63347904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 40974336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156535 + ... + 2156553.

Almost surely, 240974336 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 40974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69369300).

40974336 is an abundant number, since it is smaller than the sum of its proper divisors (97764264).

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

40974336 is a wasteful number, since it uses less digits than its factorization.

40974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 40974336 is about 6401.1199020171. The cubic root of 40974336 is about 344.7497618283.

The spelling of 40974336 in words is "forty million, nine hundred seventy-four thousand, three hundred thirty-six".