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2793330 = 232541757
BaseRepresentation
bin1010101001111101110010
312020220201200
422221331302
51203341310
6135512030
732512551
oct12517562
95226650
102793330
111638741
12b28616
1376a577
14529d98
153a29c0
hex2a9f72

2793330 has 48 divisors (see below), whose sum is σ = 7449624. Its totient is φ = 725760.

The previous prime is 2793319. The next prime is 2793337. The reversal of 2793330 is 333972.

It can be written as a sum of positive squares in 4 ways, for example, as 1671849 + 1121481 = 1293^2 + 1059^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2793294 and 2793303.

It is not an unprimeable number, because it can be changed into a prime (2793337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3312 + ... + 4068.

22793330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2793330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724812).

2793330 is an abundant number, since it is smaller than the sum of its proper divisors (4656294).

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

2793330 is a wasteful number, since it uses less digits than its factorization.

2793330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 2793330 is about 1671.3258210176. The cubic root of 2793330 is about 140.8339678398.

The spelling of 2793330 in words is "two million, seven hundred ninety-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 757 1230 1514 1845 2271 3690 3785 4542 6813 7570 11355 13626 22710 31037 34065 62074 68130 93111 155185 186222 279333 310370 465555 558666 931110 1396665 2793330