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213950034 = 23231457839
BaseRepresentation
bin11001100000010…
…01111001010010
3112220120210021100
430300021321102
5414232400114
633121405230
75205355014
oct1460117122
9486523240
10213950034
11aa850911
125b799816
133542ca6c
14205b41b4
1513bb2909
hexcc09e52

213950034 has 48 divisors (see below), whose sum is σ = 480130560. Its totient is φ = 68783040.

The previous prime is 213949949. The next prime is 213950039. The reversal of 213950034 is 430059312.

213950034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213950039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254587 + ... + 255425.

It is an arithmetic number, because the mean of its divisors is an integer number (10002720).

Almost surely, 2213950034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213950034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240065280).

213950034 is an abundant number, since it is smaller than the sum of its proper divisors (266180526).

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

213950034 is a wasteful number, since it uses less digits than its factorization.

213950034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 213950034 is about 14627.0309359077. The cubic root of 213950034 is about 598.0958467265.

The spelling of 213950034 in words is "two hundred thirteen million, nine hundred fifty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 457 558 839 914 1371 1678 2517 2742 4113 5034 7551 8226 14167 15102 26009 28334 42501 52018 78027 85002 127503 156054 234081 255006 383423 468162 766846 1150269 2300538 3450807 6901614 11886113 23772226 35658339 71316678 106975017 213950034