Search a number
-
+
403830 = 23257641
BaseRepresentation
bin1100010100101110110
3202111221200
41202211312
5100410310
612353330
73301230
oct1424566
9674850
10403830
11256449
12175846
13111a6b
14a7250
157e9c0
hex62976

403830 has 48 divisors (see below), whose sum is σ = 1201824. Its totient is φ = 92160.

The previous prime is 403829. The next prime is 403831. The reversal of 403830 is 38304.

It is an interprime number because it is at equal distance from previous prime (403829) and next prime (403831).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (25038).

2403830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600912).

403830 is an abundant number, since it is smaller than the sum of its proper divisors (797994).

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

403830 is a wasteful number, since it uses less digits than its factorization.

403830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 403830 is about 635.4761993970. The cubic root of 403830 is about 73.9150473856.

The spelling of 403830 in words is "four hundred three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 641 1282 1923 3205 3846 4487 5769 6410 8974 9615 11538 13461 19230 22435 26922 28845 40383 44870 57690 67305 80766 134610 201915 403830