Search a number
-
+
403015340 = 225713792803
BaseRepresentation
bin11000000001011…
…000011010101100
31001002100022010002
4120001120122230
51311132442330
6103554003432
712662400560
oct3001303254
91032308102
10403015340
11197545432
12b2b76578
1365658c20
143b74b6a0
15255abe45
hex180586ac

403015340 has 96 divisors (see below), whose sum is σ = 1055201280. Its totient is φ = 125888256.

The previous prime is 403015337. The next prime is 403015369. The reversal of 403015340 is 43510304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142379 + ... + 145181.

It is an arithmetic number, because the mean of its divisors is an integer number (10991680).

Almost surely, 2403015340 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 403015340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527600640).

403015340 is an abundant number, since it is smaller than the sum of its proper divisors (652185940).

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

403015340 is a wasteful number, since it uses less digits than its factorization.

403015340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 403015340 is about 20075.2419661632. The cubic root of 403015340 is about 738.6531014501.

Adding to 403015340 its reverse (43510304), we get a palindrome (446525644).

The spelling of 403015340 in words is "four hundred three million, fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 79 91 130 140 158 182 260 316 364 395 455 553 790 910 1027 1106 1580 1820 2054 2212 2765 2803 4108 5135 5530 5606 7189 10270 11060 11212 14015 14378 19621 20540 28030 28756 35945 36439 39242 56060 71890 72878 78484 98105 143780 145756 182195 196210 221437 255073 364390 392420 442874 510146 728780 885748 1020292 1107185 1275365 1550059 2214370 2550730 2878681 3100118 4428740 5101460 5757362 6200236 7750295 11514724 14393405 15500590 20150767 28786810 31001180 40301534 57573620 80603068 100753835 201507670 403015340