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34053162 = 23111324371
BaseRepresentation
bin1000000111100…
…1110000101010
32101002002011020
42001321300222
532204200122
63213513310
7562306233
oct201716052
971062136
1034053162
1118249710
12b4a2836
137093b00
14474608a
152ec9c5c
hex2079c2a

34053162 has 96 divisors (see below), whose sum is σ = 83483136. Its totient is φ = 9172800.

The previous prime is 34053121. The next prime is 34053167. The reversal of 34053162 is 26135043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34053167) 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 47 ways as a sum of consecutive naturals, for example, 479587 + ... + 479657.

It is an arithmetic number, because the mean of its divisors is an integer number (869616).

Almost surely, 234053162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34053162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41741568).

34053162 is an abundant number, since it is smaller than the sum of its proper divisors (49429974).

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

34053162 is a wasteful number, since it uses less digits than its factorization.

34053162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34053162 is about 5835.5087181839. The cubic root of 34053162 is about 324.1299394982.

The spelling of 34053162 in words is "thirty-four million, fifty-three thousand, one hundred sixty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 43 66 71 78 86 129 142 143 169 213 258 286 338 426 429 473 507 559 781 858 923 946 1014 1118 1419 1562 1677 1846 1859 2343 2769 2838 3053 3354 3718 4686 5538 5577 6106 6149 7267 9159 10153 11154 11999 12298 14534 18318 18447 20306 21801 23998 30459 33583 35997 36894 39689 43602 60918 67166 71994 79378 79937 100749 119067 131989 159874 201498 238134 239811 263978 395967 436579 479622 515957 791934 873158 1031914 1309737 1547871 2619474 3095742 5675527 11351054 17026581 34053162