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1134356040 = 233253977937
BaseRepresentation
bin100001110011100…
…1110011001001000
32221001111020221200
41003213032121020
54310343343130
6304321104200
740052603316
oct10347163110
92831436850
101134356040
11532350534
12277a88060
1315101c5bc
14aa9230b6
15698c0760
hex439ce648

1134356040 has 96 divisors (see below), whose sum is σ = 3696409080. Its totient is φ = 301694976.

The previous prime is 1134356011. The next prime is 1134356051. The reversal of 1134356040 is 406534311.

1134356040 is a `hidden beast` number, since 1 + 13 + 43 + 5 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1133399556 + 956484 = 33666^2 + 978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134355995 and 1134356013.

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, 138952 + ... + 146888.

Almost surely, 21134356040 is an apocalyptic number.

1134356040 is a gapful number since it is divisible by the number (10) 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 1134356040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848204540).

1134356040 is an abundant number, since it is smaller than the sum of its proper divisors (2562053040).

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

1134356040 is a wasteful number, since it uses less digits than its factorization.

1134356040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1134356040 is about 33680.2024934530. The cubic root of 1134356040 is about 1042.9171182478.

The spelling of 1134356040 in words is "one billion, one hundred thirty-four million, three hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 397 794 1191 1588 1985 2382 3176 3573 3970 4764 5955 7146 7937 7940 9528 11910 14292 15874 15880 17865 23811 23820 28584 31748 35730 39685 47622 47640 63496 71433 71460 79370 95244 119055 142866 142920 158740 190488 238110 285732 317480 357165 476220 571464 714330 952440 1428660 2857320 3150989 6301978 9452967 12603956 15754945 18905934 25207912 28358901 31509890 37811868 47264835 56717802 63019780 75623736 94529670 113435604 126039560 141794505 189059340 226871208 283589010 378118680 567178020 1134356040