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2353115340 = 2233510342307
BaseRepresentation
bin1000110001000001…
…1011000011001100
320001222210122102000
42030100123003030
514304344142330
61025255232300
7112212102402
oct21420330314
96058718360
102353115340
11aa82aa424
12558078690
132b6681554
14184737472
15db8b4560
hex8c41b0cc

2353115340 has 96 divisors (see below), whose sum is σ = 7392053760. Its totient is φ = 621390528.

The previous prime is 2353115329. The next prime is 2353115341. The reversal of 2353115340 is 435113532.

2353115340 is a `hidden beast` number, since 2 + 3 + 5 + 311 + 5 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2353115341) 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, 34467 + ... + 76773.

It is an arithmetic number, because the mean of its divisors is an integer number (77000560).

Almost surely, 22353115340 is an apocalyptic number.

2353115340 is a gapful number since it is divisible by the number (20) 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 2353115340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696026880).

2353115340 is an abundant number, since it is smaller than the sum of its proper divisors (5038938420).

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

2353115340 is a wasteful number, since it uses less digits than its factorization.

2353115340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42428 (or 42420 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2353115340 is about 48508.9202106169. The cubic root of 2353115340 is about 1330.0901327727.

Adding to 2353115340 its reverse (435113532), we get a palindrome (2788228872).

The spelling of 2353115340 in words is "two billion, three hundred fifty-three million, one hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2781 3090 3708 4635 5562 6180 9270 11124 13905 18540 27810 42307 55620 84614 126921 169228 211535 253842 380763 423070 507684 634605 761526 846140 1142289 1269210 1523052 1903815 2284578 2538420 3807630 4357621 4569156 5711445 7615260 8715242 11422890 13072863 17430484 21788105 22845780 26145726 39218589 43576210 52291452 65364315 78437178 87152420 117655767 130728630 156874356 196092945 235311534 261457260 392185890 470623068 588278835 784371780 1176557670 2353115340