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4034214342 = 233177016269
BaseRepresentation
bin1111000001110101…
…0011100111000110
3101102011002022201000
43300131103213012
531230224324332
61504151114130
7201654153564
oct36035234706
911364068630
104034214342
111790232a44
12947072946
134c3a409a2
142a3adca34
15189282b7c
hexf07539c6

4034214342 has 64 divisors (see below), whose sum is σ = 9507326400. Its totient is φ = 1263628800.

The previous prime is 4034214341. The next prime is 4034214413. The reversal of 4034214342 is 2434124304.

It is a happy number.

4034214342 is a `hidden beast` number, since 403 + 4 + 214 + 3 + 42 = 666.

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 (4034214341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640384 + ... + 646652.

It is an arithmetic number, because the mean of its divisors is an integer number (148551975).

Almost surely, 24034214342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034214342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753663200).

4034214342 is an abundant number, since it is smaller than the sum of its proper divisors (5473112058).

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

4034214342 is a wasteful number, since it uses less digits than its factorization.

4034214342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4034214342 is about 63515.4653765522. The cubic root of 4034214342 is about 1591.9141986682.

Adding to 4034214342 its reverse (2434124304), we get a palindrome (6468338646).

The spelling of 4034214342 in words is "four billion, thirty-four million, two hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 701 918 1402 2103 4206 6269 6309 11917 12538 12618 18807 18927 23834 35751 37614 37854 56421 71502 106573 107253 112842 169263 213146 214506 319719 321759 338526 639438 643518 959157 1918314 2877471 4394569 5754942 8789138 13183707 26367414 39551121 74707673 79102242 118653363 149415346 224123019 237306726 448246038 672369057 1344738114 2017107171 4034214342