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1148294340 = 223354215051
BaseRepresentation
bin100010001110001…
…1001010011000100
32222000201101201000
41010130121103010
54322430404330
6305535533300
740312224624
oct10434312304
92860641630
101148294340
1153a200596
1228068a230
13153b8c90b
14ac710884
156ac25560
hex447194c4

1148294340 has 96 divisors (see below), whose sum is σ = 3581665920. Its totient is φ = 305424000.

The previous prime is 1148294333. The next prime is 1148294347. The reversal of 1148294340 is 434928411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1148294333) and next prime (1148294347).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1148294295 and 1148294304.

It is not an unprimeable number, because it can be changed into a prime (1148294347) 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, 224815 + ... + 229865.

It is an arithmetic number, because the mean of its divisors is an integer number (37309020).

Almost surely, 21148294340 is an apocalyptic number.

1148294340 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 1148294340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790832960).

1148294340 is an abundant number, since it is smaller than the sum of its proper divisors (2433371580).

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

1148294340 is a wasteful number, since it uses less digits than its factorization.

1148294340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1148294340 is about 33886.4919990252. The cubic root of 1148294340 is about 1047.1713252367.

The spelling of 1148294340 in words is "one billion, one hundred forty-eight million, two hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 421 540 842 1263 1684 2105 2526 3789 4210 5051 5052 6315 7578 8420 10102 11367 12630 15153 15156 18945 20204 22734 25255 25260 30306 37890 45459 45468 50510 56835 60612 75765 75780 90918 101020 113670 136377 151530 181836 227295 227340 272754 303060 454590 545508 681885 909180 1363770 2126471 2727540 4252942 6379413 8505884 10632355 12758826 19138239 21264710 25517652 31897065 38276478 42529420 57414717 63794130 76552956 95691195 114829434 127588260 191382390 229658868 287073585 382764780 574147170 1148294340