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2034434142 = 2321371122453
BaseRepresentation
bin111100101000011…
…0000000001011110
312020210010221222200
41321100300001132
513131303343032
6533512552330
7101262255606
oct17120600136
95223127880
102034434142
11954426534
124893b26a6
132656426b0
1415429dc06
15bd91547c
hex7943005e

2034434142 has 48 divisors (see below), whose sum is σ = 4813911648. Its totient is φ = 617158080.

The previous prime is 2034434123. The next prime is 2034434161. The reversal of 2034434142 is 2414344302.

It is a happy number.

2034434142 is a `hidden beast` number, since 203 + 4 + 43 + 414 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2034434123) and next prime (2034434161).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44613 + ... + 77840.

It is an arithmetic number, because the mean of its divisors is an integer number (100289826).

Almost surely, 22034434142 is an apocalyptic number.

2034434142 is an abundant number, since it is smaller than the sum of its proper divisors (2779477506).

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

2034434142 is a wasteful number, since it uses less digits than its factorization.

2034434142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122545 (or 122542 counting only the distinct ones).

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

The square root of 2034434142 is about 45104.7019943597. The cubic root of 2034434142 is about 1267.1106617877.

Adding to 2034434142 its reverse (2414344302), we get a palindrome (4448778444).

The spelling of 2034434142 in words is "two billion, thirty-four million, four hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 5538 8307 16614 122453 244906 367359 734718 1102077 1591889 2204154 3183778 4775667 8694163 9551334 14327001 17388326 26082489 28654002 52164978 78247467 113024119 156494934 226048238 339072357 678144714 1017217071 2034434142