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394194240 = 263251123541
BaseRepresentation
bin10111011111101…
…110110101000000
31000110202010211200
4113133232311000
51301403203430
6103040541200
712524411226
oct2737566500
91013663750
10394194240
1119256aa70
12b0021800
136388ab3b
143a4d2b16
1524918460
hex177eed40

394194240 has 336 divisors, whose sum is σ = 1546286976. Its totient is φ = 91238400.

The previous prime is 394194239. The next prime is 394194257. The reversal of 394194240 is 42491493.

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

It is a junction number, because it is equal to n+sod(n) for n = 394194195 and 394194204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728370 + ... + 728910.

Almost surely, 2394194240 is an apocalyptic number.

394194240 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 394194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773143488).

394194240 is an abundant number, since it is smaller than the sum of its proper divisors (1152092736).

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

394194240 is a wasteful number, since it uses less digits than its factorization.

394194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 394194240 is about 19854.3254733068. The cubic root of 394194240 is about 733.2241453597.

The spelling of 394194240 in words is "three hundred ninety-four million, one hundred ninety-four thousand, two hundred forty".