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2534834412 = 2234113122943
BaseRepresentation
bin1001011100010110…
…1000000011101100
320112122201221010000
42113011220003230
520142404200122
61055310144300
7116546510535
oct22705500354
96478657100
102534834412
111090936680
125a8ab2090
13315207a26
141a091b68c
15ec80c0ac
hex971680ec

2534834412 has 120 divisors (see below), whose sum is σ = 7462490112. Its totient is φ = 743320800.

The previous prime is 2534834399. The next prime is 2534834413. The reversal of 2534834412 is 2144384352.

2534834412 is a `hidden beast` number, since 2 + 534 + 83 + 4 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534834413) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99013 + ... + 121955.

Almost surely, 22534834412 is an apocalyptic number.

2534834412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534834412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731245056).

2534834412 is an abundant number, since it is smaller than the sum of its proper divisors (4927655700).

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

2534834412 is a wasteful number, since it uses less digits than its factorization.

2534834412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23001 (or 22990 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2534834412 is about 50347.1390646976. The cubic root of 2534834412 is about 1363.4834309801.

The spelling of 2534834412 in words is "two billion, five hundred thirty-four million, eight hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1023 1116 1188 1364 1674 1782 2046 2511 3069 3348 3564 4092 5022 6138 9207 10044 12276 18414 22943 27621 36828 45886 55242 68829 91772 110484 137658 206487 252373 275316 412974 504746 619461 711233 757119 825948 1009492 1238922 1422466 1514238 1858383 2133699 2271357 2477844 2844932 3028476 3716766 4267398 4542714 6401097 6814071 7433532 7823563 8534796 9085428 12802194 13628142 15647126 19203291 20442213 23470689 25604388 27256284 31294252 38406582 40884426 46941378 57609873 70412067 76813164 81768852 93882756 115219746 140824134 211236201 230439492 281648268 422472402 633708603 844944804 1267417206 2534834412