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1345149360 = 243252397817
BaseRepresentation
bin101000000101101…
…0101100110110000
310110202010200000200
41100023111212300
510223324234420
6341251115200
745222403152
oct12013254660
93422120020
101345149360
11630335695
123165a2b00
131858b5589
14ca914ad2
157d15cb90
hex502d59b0

1345149360 has 120 divisors (see below), whose sum is σ = 4536941760. Its totient is φ = 357159936.

The previous prime is 1345149347. The next prime is 1345149367. The reversal of 1345149360 is 639415431.

1345149360 is a `hidden beast` number, since 134 + 514 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1345149367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 168172 + ... + 175988.

It is an arithmetic number, because the mean of its divisors is an integer number (37807848).

Almost surely, 21345149360 is an apocalyptic number.

1345149360 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 1345149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268470880).

1345149360 is an abundant number, since it is smaller than the sum of its proper divisors (3191792400).

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

1345149360 is a wasteful number, since it uses less digits than its factorization.

1345149360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8075 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1345149360 is about 36676.2778918472. The cubic root of 1345149360 is about 1103.8841639649.

The spelling of 1345149360 in words is "one billion, three hundred forty-five million, one hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 239 240 360 478 717 720 956 1195 1434 1912 2151 2390 2868 3585 3824 4302 4780 5736 7170 7817 8604 9560 10755 11472 14340 15634 17208 19120 21510 23451 28680 31268 34416 39085 43020 46902 57360 62536 70353 78170 86040 93804 117255 125072 140706 156340 172080 187608 234510 281412 312680 351765 375216 469020 562824 625360 703530 938040 1125648 1407060 1868263 1876080 2814120 3736526 5604789 5628240 7473052 9341315 11209578 14946104 16814367 18682630 22419156 28023945 29892208 33628734 37365260 44838312 56047890 67257468 74730520 84071835 89676624 112095780 134514936 149461040 168143670 224191560 269029872 336287340 448383120 672574680 1345149360