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34202142 = 2331383587
BaseRepresentation
bin1000001001111…
…0001000011110
32101100122112000
42002132020132
532223432032
63221023130
7563466462
oct202361036
971318460
1034202142
1118340637
12b554aa6
137116870
1447844a2
153008e7c
hex209e21e

34202142 has 64 divisors (see below), whose sum is σ = 82978560. Its totient is φ = 10379232.

The previous prime is 34202141. The next prime is 34202143. The reversal of 34202142 is 24120243.

It is an interprime number because it is at equal distance from previous prime (34202141) and next prime (34202143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34202141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57973 + ... + 58559.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 234202142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34202142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41489280).

34202142 is an abundant number, since it is smaller than the sum of its proper divisors (48776418).

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

34202142 is a wasteful number, since it uses less digits than its factorization.

34202142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34202142 is about 5848.2597411538. The cubic root of 34202142 is about 324.6019331512.

Adding to 34202142 its reverse (24120243), we get a palindrome (58322385).

The spelling of 34202142 in words is "thirty-four million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 234 249 351 498 587 702 747 1079 1174 1494 1761 2158 2241 3237 3522 4482 5283 6474 7631 9711 10566 15262 15849 19422 22893 29133 31698 45786 48721 58266 68679 97442 137358 146163 206037 292326 412074 438489 633373 876978 1266746 1315467 1900119 2630934 3800238 5700357 11400714 17101071 34202142