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34213914 = 235789113
BaseRepresentation
bin1000001010000…
…1000000011010
32101101020200000
42002201000122
532224321124
63221153430
7563546010
oct202410032
971336600
1034213914
1118349469
12b55b876
13711c027
1447888b0
15300c6c9
hex20a101a

34213914 has 96 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 9580032.

The previous prime is 34213913. The next prime is 34213919. The reversal of 34213914 is 41931243.

It is a super-2 number, since 2×342139142 = 2341183822398792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302722 + ... + 302834.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 234213914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34213914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

34213914 is an abundant number, since it is smaller than the sum of its proper divisors (55417446).

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

34213914 is a wasteful number, since it uses less digits than its factorization.

34213914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 34213914 is about 5849.2661078122. The cubic root of 34213914 is about 324.6391703476.

The spelling of 34213914 in words is "thirty-four million, two hundred thirteen thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 89 113 126 162 178 189 226 243 267 339 378 486 534 567 623 678 791 801 1017 1134 1246 1582 1602 1701 1869 2034 2373 2403 3051 3402 3738 4746 4806 5607 6102 7119 7209 9153 10057 11214 14238 14418 16821 18306 20114 21357 21627 27459 30171 33642 42714 43254 50463 54918 60342 64071 70399 90513 100926 128142 140798 151389 181026 192213 211197 271539 302778 384426 422394 543078 633591 814617 1267182 1629234 1900773 2443851 3801546 4887702 5702319 11404638 17106957 34213914