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1132381734 = 231129797489
BaseRepresentation
bin100001101111110…
…1100011000100110
32220220202221201020
41003133230120212
54304342203414
6304210512010
740030041321
oct10337543046
92826687636
101132381734
11531222180
12277295606
131507aaa83
14aa56b7b8
15696307a9
hex437ec626

1132381734 has 64 divisors (see below), whose sum is σ = 2588544000. Its totient is φ = 327075840.

The previous prime is 1132381721. The next prime is 1132381739. The reversal of 1132381734 is 4371832311.

1132381734 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1132381695 and 1132381704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132381739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147462 + ... + 154950.

It is an arithmetic number, because the mean of its divisors is an integer number (40446000).

Almost surely, 21132381734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132381734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294272000).

1132381734 is an abundant number, since it is smaller than the sum of its proper divisors (1456162266).

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

1132381734 is a wasteful number, since it uses less digits than its factorization.

1132381734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613.

The product of its digits is 12096, while the sum is 33.

The square root of 1132381734 is about 33650.8801370781. The cubic root of 1132381734 is about 1042.3117136047.

The spelling of 1132381734 in words is "one billion, one hundred thirty-two million, three hundred eighty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 79 87 158 174 237 319 474 638 869 957 1738 1914 2291 2607 4582 5214 6873 7489 13746 14978 22467 25201 44934 50402 75603 82379 151206 164758 217181 247137 434362 494274 591631 651543 1183262 1303086 1774893 2388991 3549786 4777982 6507941 7166973 13015882 14333946 17157299 19523823 34314598 39047646 51471897 102943794 188730289 377460578 566190867 1132381734