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213438348 = 223331371723
BaseRepresentation
bin11001011100011…
…00111110001100
3112212121210101000
430232030332030
5414120011343
633102420300
75201124144
oct1456147614
9485553330
10213438348
11aa531432
125b591690
13352b0ba6
14204bd924
1513b10ed3
hexcb8cf8c

213438348 has 96 divisors (see below), whose sum is σ = 586987520. Its totient is φ = 66951360.

The previous prime is 213438331. The next prime is 213438353. The reversal of 213438348 is 843834312.

It is a happy number.

213438348 is a `hidden beast` number, since 213 + 438 + 3 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123015 + ... + 124737.

Almost surely, 2213438348 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 213438348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293493760).

213438348 is an abundant number, since it is smaller than the sum of its proper divisors (373549172).

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

213438348 is a wasteful number, since it uses less digits than its factorization.

213438348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1796 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 213438348 is about 14609.5293558691. The cubic root of 213438348 is about 597.6186612130.

The spelling of 213438348 in words is "two hundred thirteen million, four hundred thirty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 54 62 74 93 108 111 124 148 186 222 279 333 372 444 558 666 837 999 1116 1147 1332 1674 1723 1998 2294 3348 3441 3446 3996 4588 5169 6882 6892 10323 10338 13764 15507 20646 20676 30969 31014 41292 46521 53413 61938 62028 63751 93042 106826 123876 127502 160239 186084 191253 213652 255004 320478 382506 480717 573759 640956 765012 961434 1147518 1442151 1721277 1922868 1976281 2295036 2884302 3442554 3952562 5768604 5928843 6885108 7905124 11857686 17786529 23715372 35573058 53359587 71146116 106719174 213438348