Search a number
-
+
401923340 = 2257131959197
BaseRepresentation
bin10111111101001…
…101110100001100
31001000021211011122
4113331031310030
51310343021330
6103514340112
712650202110
oct2775156414
91030254148
10401923340
11196969a55
12b272a638
1365365b80
143b545740
15254435e5
hex17f4dd0c

401923340 has 192 divisors, whose sum is σ = 1117670400. Its totient is φ = 117863424.

The previous prime is 401923337. The next prime is 401923343. The reversal of 401923340 is 43329104.

It is an interprime number because it is at equal distance from previous prime (401923337) and next prime (401923343).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (401923343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2040122 + ... + 2040318.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2401923340 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 401923340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

401923340 is an abundant number, since it is smaller than the sum of its proper divisors (715747060).

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

401923340 is a wasteful number, since it uses less digits than its factorization.

401923340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 401923340 is about 20048.0258379722. The cubic root of 401923340 is about 737.9853528329.

The spelling of 401923340 in words is "four hundred one million, nine hundred twenty-three thousand, three hundred forty".