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2631330 = 2325132173
BaseRepresentation
bin1010000010011010100010
311221200111200
422002122202
51133200310
6132222030
731236342
oct12023242
94850450
102631330
111537a59
12a6a916
13711900
144c6d22
1536e9c0
hex2826a2

2631330 has 72 divisors (see below), whose sum is σ = 7451028. Its totient is φ = 643968.

The previous prime is 2631323. The next prime is 2631337. The reversal of 2631330 is 331362.

It is a happy number.

2631330 is a `hidden beast` number, since 2 + 631 + 3 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (2631323) and next prime (2631337).

It can be written as a sum of positive squares in 6 ways, for example, as 751689 + 1879641 = 867^2 + 1371^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2631337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15124 + ... + 15296.

22631330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725514).

2631330 is an abundant number, since it is smaller than the sum of its proper divisors (4819698).

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

2631330 is a wasteful number, since it uses less digits than its factorization.

2631330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2631330 is about 1622.1374787607. The cubic root of 2631330 is about 138.0570022863.

Adding to 2631330 its reverse (331362), we get a palindrome (2962692).

Subtracting from 2631330 its reverse (331362), we obtain a cube (2299968 = 1323).

The spelling of 2631330 in words is "two million, six hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 173 195 234 338 346 390 507 519 585 845 865 1014 1038 1170 1521 1557 1690 1730 2249 2535 2595 3042 3114 4498 5070 5190 6747 7605 7785 11245 13494 15210 15570 20241 22490 29237 33735 40482 58474 67470 87711 101205 146185 175422 202410 263133 292370 438555 526266 877110 1315665 2631330