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1122442434 = 23437271691
BaseRepresentation
bin100001011100111…
…0001110011000010
32220020001222120000
41002321301303002
54244321124214
6303213500430
736546413631
oct10271616302
92806058500
101122442434
11526653683
12273aa1716
1314b70aa29
14a9101518
156881a809
hex42e71cc2

1122442434 has 80 divisors (see below), whose sum is σ = 2596361856. Its totient is φ = 362167200.

The previous prime is 1122442429. The next prime is 1122442469. The reversal of 1122442434 is 4342442211.

1122442434 is a `hidden beast` number, since 1 + 1 + 224 + 4 + 2 + 434 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1122442398 and 1122442407.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1624029 + ... + 1624719.

Almost surely, 21122442434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122442434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298180928).

1122442434 is an abundant number, since it is smaller than the sum of its proper divisors (1473919422).

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

1122442434 is a wasteful number, since it uses less digits than its factorization.

1122442434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1004 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1122442434 is about 33502.8720261413. The cubic root of 1122442434 is about 1039.2531725322.

Adding to 1122442434 its reverse (4342442211), we get a palindrome (5464884645).

It can be divided in two parts, 1122 and 442434, that added together give a square (443556 = 6662).

The spelling of 1122442434 in words is "one billion, one hundred twenty-two million, four hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 271 333 542 666 691 813 999 1382 1626 1998 2073 2439 2997 4146 4878 5994 6219 7317 10027 12438 14634 18657 20054 21951 25567 30081 37314 43902 51134 55971 60162 76701 90243 111942 153402 180486 187261 230103 270729 374522 460206 541458 561783 690309 812187 1123566 1380618 1624374 1685349 2070927 3370698 4141854 5056047 6928657 10112094 13857314 15168141 20785971 30336282 41571942 62357913 124715826 187073739 374147478 561221217 1122442434