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1148343264 = 25332357787
BaseRepresentation
bin100010001110010…
…0101001111100000
32222000210212211000
41010130211033200
54322433441024
6305540552000
740312520355
oct10434451740
92860725730
101148343264
1153a234322
122806b2600
13153ba8c73
14ac72462c
156ac34cc9
hex447253e0

1148343264 has 96 divisors (see below), whose sum is σ = 3495018240. Its totient is φ = 366132096.

The previous prime is 1148343253. The next prime is 1148343283. The reversal of 1148343264 is 4623438411.

1148343264 is a `hidden beast` number, since 11 + 48 + 343 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9022 + ... + 48765.

It is an arithmetic number, because the mean of its divisors is an integer number (36406440).

Almost surely, 21148343264 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 1148343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747509120).

1148343264 is an abundant number, since it is smaller than the sum of its proper divisors (2346674976).

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

1148343264 is a wasteful number, since it uses less digits than its factorization.

1148343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57829 (or 57815 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1148343264 is about 33887.2138719016. The cubic root of 1148343264 is about 1047.1861968832.

The spelling of 1148343264 in words is "one billion, one hundred forty-eight million, three hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 57787 115574 173361 231148 346722 462296 520083 693444 924592 1040166 1329101 1386888 1560249 1849184 2080332 2658202 2773776 3120498 3987303 4160664 5316404 5547552 6240996 7974606 8321328 10632808 11961909 12481992 15949212 16642656 21265616 23923818 24963984 31898424 35885727 42531232 47847636 49927968 63796848 71771454 95695272 127593696 143542908 191390544 287085816 382781088 574171632 1148343264