Search a number
-
+
394889040 = 24335731341
BaseRepresentation
bin10111100010011…
…000011101010000
31000112001102221000
4113202120131100
51302042422130
6103103502000
712533334000
oct2742303520
91015042830
10394889040
111929a4a87
12b02b7900
1363a72170
143a634000
1524a04260
hex17898750

394889040 has 640 divisors, whose sum is σ = 1749888000. Its totient is φ = 81285120.

The previous prime is 394889023. The next prime is 394889057. The reversal of 394889040 is 40988493.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (394889023) and next prime (394889057).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 9631420 + ... + 9631460.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2394889040 is an apocalyptic number.

394889040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394889040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944000).

394889040 is an abundant number, since it is smaller than the sum of its proper divisors (1354998960).

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

394889040 is a wasteful number, since it uses less digits than its factorization.

394889040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 394889040 is about 19871.8152165322. The cubic root of 394889040 is about 733.6546819368.

The spelling of 394889040 in words is "three hundred ninety-four million, eight hundred eighty-nine thousand, forty".