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4034025342 = 234411973083
BaseRepresentation
bin1111000001110010…
…0101011101111110
3101102010201201110000
43300130211131332
531230202302332
61504143055130
7201652435554
oct36034453576
911363651400
104034025342
111790113a46
12946ba14a6
134c39a5959
142a3a8dbd4
15189246b7c
hexf072577e

4034025342 has 80 divisors (see below), whose sum is σ = 9309695472. Its totient is φ = 1304795520.

The previous prime is 4034025287. The next prime is 4034025377. The reversal of 4034025342 is 2435204304.

4034025342 is a `hidden beast` number, since 403 + 4 + 0 + 253 + 4 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1306933 + ... + 1310015.

Almost surely, 24034025342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034025342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654847736).

4034025342 is an abundant number, since it is smaller than the sum of its proper divisors (5275670130).

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

4034025342 is a wasteful number, since it uses less digits than its factorization.

4034025342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4034025342 is about 63513.9775325085. The cubic root of 4034025342 is about 1591.8893382735.

Adding to 4034025342 its reverse (2435204304), we get a palindrome (6469229646).

The spelling of 4034025342 in words is "four billion, thirty-four million, twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 197 246 369 394 591 738 1107 1182 1773 2214 3083 3321 3546 5319 6166 6642 8077 9249 10638 15957 16154 18498 24231 27747 31914 48462 55494 72693 83241 126403 145386 166482 218079 249723 252806 379209 436158 499446 607351 654237 758418 1137627 1214702 1308474 1822053 2275254 3412881 3644106 5466159 6825762 10238643 10932318 16398477 20477286 24901391 32796954 49195431 49802782 74704173 98390862 149408346 224112519 448225038 672337557 1344675114 2017012671 4034025342