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1134342768 = 243134993643
BaseRepresentation
bin100001110011100…
…1011001001110000
32221001110120202010
41003213023021300
54310342432033
6304320522520
740052516526
oct10347131160
92831416663
101134342768
11532341569
12277a80440
13151016550
14aa91c316
15698bb863
hex439cb270

1134342768 has 80 divisors (see below), whose sum is σ = 3162992000. Its totient is φ = 348233472.

The previous prime is 1134342757. The next prime is 1134342779. The reversal of 1134342768 is 8672434311.

It is an interprime number because it is at equal distance from previous prime (1134342757) and next prime (1134342779).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309555 + ... + 313197.

It is an arithmetic number, because the mean of its divisors is an integer number (39537400).

Almost surely, 21134342768 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 1134342768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581496000).

1134342768 is an abundant number, since it is smaller than the sum of its proper divisors (2028649232).

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

1134342768 is a wasteful number, since it uses less digits than its factorization.

1134342768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4160 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 1134342768 is about 33680.0054631825. The cubic root of 1134342768 is about 1042.9130508447.

The spelling of 1134342768 in words is "one billion, one hundred thirty-four million, three hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 499 624 998 1497 1996 2994 3643 3992 5988 6487 7286 7984 10929 11976 12974 14572 19461 21858 23952 25948 29144 38922 43716 47359 51896 58288 77844 87432 94718 103792 142077 155688 174864 189436 284154 311376 378872 568308 757744 1136616 1817857 2273232 3635714 5453571 7271428 10907142 14542856 21814284 23632141 29085712 43628568 47264282 70896423 87257136 94528564 141792846 189057128 283585692 378114256 567171384 1134342768