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1143340968 = 2337111993109
BaseRepresentation
bin100010000100101…
…1111111110101000
32221200101201221210
41010021133332220
54320143402333
6305241433120
740222144410
oct10411377650
92850351853
101143340968
11537427aa0
1227aa9b7a0
13152b47123
14abbc1640
156a597a63
hex4425ffa8

1143340968 has 128 divisors (see below), whose sum is σ = 3582720000. Its totient is φ = 295384320.

The previous prime is 1143340943. The next prime is 1143340969. The reversal of 1143340968 is 8690433411.

1143340968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1143340969) 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, 366198 + ... + 369306.

It is an arithmetic number, because the mean of its divisors is an integer number (27990000).

Almost surely, 21143340968 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 1143340968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791360000).

1143340968 is an abundant number, since it is smaller than the sum of its proper divisors (2439379032).

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

1143340968 is a wasteful number, since it uses less digits than its factorization.

1143340968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1143340968 is about 33813.3253023124. The cubic root of 1143340968 is about 1045.6634350100.

The spelling of 1143340968 in words is "one billion, one hundred forty-three million, three hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 199 231 264 308 398 462 597 616 796 924 1194 1393 1592 1848 2189 2388 2786 3109 4179 4378 4776 5572 6218 6567 8358 8756 9327 11144 12436 13134 15323 16716 17512 18654 21763 24872 26268 30646 33432 34199 37308 43526 45969 52536 61292 65289 68398 74616 87052 91938 102597 122584 130578 136796 174104 183876 205194 239393 261156 273592 367752 410388 478786 522312 618691 718179 820776 957572 1237382 1436358 1856073 1915144 2474764 2872716 3712146 4330837 4949528 5745432 6805601 7424292 8661674 12992511 13611202 14848584 17323348 20416803 25985022 27222404 34646696 40833606 47639207 51970044 54444808 81667212 95278414 103940088 142917621 163334424 190556828 285835242 381113656 571670484 1143340968