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213782034 = 23192229431
BaseRepresentation
bin11001011111000…
…00111000010010
3112220021020211010
430233200320102
5414212011114
633114031350
75204055144
oct1457407022
9486236733
10213782034
11aa746674
125b718556
13353a145b
142056cc94
1513b7cc59
hexcbe0e12

213782034 has 48 divisors (see below), whose sum is σ = 454273920. Its totient is φ = 67059360.

The previous prime is 213782029. The next prime is 213782057. The reversal of 213782034 is 430287312.

213782034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2137820342 = 91405516122354312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213781992 and 213782010.

It is an unprimeable number.

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, 495799 + ... + 496229.

It is an arithmetic number, because the mean of its divisors is an integer number (9464040).

Almost surely, 2213782034 is an apocalyptic number.

213782034 is an abundant number, since it is smaller than the sum of its proper divisors (240491886).

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

213782034 is a wasteful number, since it uses less digits than its factorization.

213782034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 213782034 is about 14621.2870158547. The cubic root of 213782034 is about 597.9392581190.

The spelling of 213782034 in words is "two hundred thirteen million, seven hundred eighty-two thousand, thirty-four".

Divisors: 1 2 3 6 19 38 57 114 229 361 431 458 687 722 862 1083 1293 1374 2166 2586 4351 8189 8702 13053 16378 24567 26106 49134 82669 98699 155591 165338 197398 248007 296097 311182 466773 496014 592194 933546 1875281 3750562 5625843 11251686 35630339 71260678 106891017 213782034