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1145264634 = 2321967151331
BaseRepresentation
bin100010001000011…
…0101100111111010
32221211000110201200
41010100311213322
54321141432014
6305350555030
740244405643
oct10420654772
92854013650
101145264634
115385212a8
1227b668a76
1315336b8a7
14ac1626ca
156a827a09
hex444359fa

1145264634 has 96 divisors (see below), whose sum is σ = 2676610560. Its totient is φ = 352836000.

The previous prime is 1145264633. The next prime is 1145264657. The reversal of 1145264634 is 4364625411.

1145264634 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 646 + 3 + 4 = 666.

Its product of digits (69120) is a multiple of the sum of its prime factors (576).

It is not an unprimeable number, because it can be changed into a prime (1145264633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3459849 + ... + 3460179.

It is an arithmetic number, because the mean of its divisors is an integer number (27881360).

Almost surely, 21145264634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145264634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338305280).

1145264634 is an abundant number, since it is smaller than the sum of its proper divisors (1531345926).

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

1145264634 is a wasteful number, since it uses less digits than its factorization.

1145264634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1145264634 is about 33841.7587308934. The cubic root of 1145264634 is about 1046.2495477531.

The spelling of 1145264634 in words is "one billion, one hundred forty-five million, two hundred sixty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 151 171 201 302 331 342 402 453 603 662 906 993 1206 1273 1359 1986 2546 2718 2869 2979 3819 5738 5958 6289 7638 8607 10117 11457 12578 17214 18867 20234 22177 22914 25821 30351 37734 44354 49981 51642 56601 60702 66531 91053 99962 113202 133062 149943 182106 192223 199593 299886 384446 399186 421363 449829 576669 842726 899658 949639 1153338 1264089 1730007 1899278 2528178 2848917 3348727 3460014 3792267 5697834 6697454 7584534 8546751 10046181 17093502 20092362 30138543 60277086 63625813 127251626 190877439 381754878 572632317 1145264634