Search a number
-
+
403941330 = 23551319673
BaseRepresentation
bin11000000100111…
…010011111010010
31001011002100100000
4120010322133102
51311402110310
6104025510430
713003305342
oct3004723722
91034070300
10403941330
11198018111
12b3342416
13658c1550
143b90cd22
15256e14c0
hex1813a7d2

403941330 has 192 divisors, whose sum is σ = 1236493440. Its totient is φ = 94058496.

The previous prime is 403941313. The next prime is 403941347. The reversal of 403941330 is 33149304.

It is an interprime number because it is at equal distance from previous prime (403941313) and next prime (403941347).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 403941294 and 403941303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599874 + ... + 600546.

It is an arithmetic number, because the mean of its divisors is an integer number (6440070).

Almost surely, 2403941330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403941330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618246720).

403941330 is an abundant number, since it is smaller than the sum of its proper divisors (832552110).

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

403941330 is a wasteful number, since it uses less digits than its factorization.

403941330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 403941330 is about 20098.2917184521. The cubic root of 403941330 is about 739.2183919252.

It can be divided in two parts, 4039 and 41330, that added together give a square (45369 = 2132).

The spelling of 403941330 in words is "four hundred three million, nine hundred forty-one thousand, three hundred thirty".