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1134413424 = 24352831031
BaseRepresentation
bin100001110011101…
…1100011001110000
32221001121011200000
41003213130121300
54310402212144
6304322230000
740053232524
oct10347343160
92831534600
101134413424
1153238a661
12277ab5300
1315103c761
14aa939d84
15698d2769
hex439dc670

1134413424 has 120 divisors (see below), whose sum is σ = 3307204992. Its totient is φ = 376436160.

The previous prime is 1134413407. The next prime is 1134413453. The reversal of 1134413424 is 4243144311.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099789 + ... + 1100819.

Almost surely, 21134413424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653602496).

1134413424 is an abundant number, since it is smaller than the sum of its proper divisors (2172791568).

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

1134413424 is a wasteful number, since it uses less digits than its factorization.

1134413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1319 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1134413424 is about 33681.0543777952. The cubic root of 1134413424 is about 1042.9347040688.

Adding to 1134413424 its reverse (4243144311), we get a palindrome (5377557735).

The spelling of 1134413424 in words is "one billion, one hundred thirty-four million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 283 324 432 486 566 648 849 972 1031 1132 1296 1698 1944 2062 2264 2547 3093 3396 3888 4124 4528 5094 6186 6792 7641 8248 9279 10188 12372 13584 15282 16496 18558 20376 22923 24744 27837 30564 37116 40752 45846 49488 55674 61128 68769 74232 83511 91692 111348 122256 137538 148464 167022 183384 222696 250533 275076 291773 334044 366768 445392 501066 550152 583546 668088 875319 1002132 1100304 1167092 1336176 1750638 2004264 2334184 2625957 3501276 4008528 4668368 5251914 7002552 7877871 10503828 14005104 15755742 21007656 23633613 31511484 42015312 47267226 63022968 70900839 94534452 126045936 141801678 189068904 283603356 378137808 567206712 1134413424