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1345002000 = 24353972311
BaseRepresentation
bin101000000101011…
…0001101000010000
310110201212011212220
41100022301220100
510223310031000
6341244021040
745221220426
oct12012615020
93421764786
101345002000
11630244a01
12316531780
13185863494
14ca8b7116
157d12e1a0
hex502b1a10

1345002000 has 160 divisors (see below), whose sum is σ = 4382886144. Its totient is φ = 354816000.

The previous prime is 1345001989. The next prime is 1345002011. The reversal of 1345002000 is 2005431.

It is an interprime number because it is at equal distance from previous prime (1345001989) and next prime (1345002011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580845 + ... + 583155.

Almost surely, 21345002000 is an apocalyptic number.

1345002000 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 1345002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191443072).

1345002000 is an abundant number, since it is smaller than the sum of its proper divisors (3037884144).

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

1345002000 is a wasteful number, since it uses less digits than its factorization.

1345002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1345002000 is about 36674.2689088685. The cubic root of 1345002000 is about 1103.8438526271.

Adding to 1345002000 its reverse (2005431), we get a palindrome (1347007431).

The spelling of 1345002000 in words is "one billion, three hundred forty-five million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 97 100 120 125 150 194 200 240 250 291 300 375 388 400 485 500 582 600 750 776 970 1000 1164 1200 1455 1500 1552 1940 2000 2311 2328 2425 2910 3000 3880 4622 4656 4850 5820 6000 6933 7275 7760 9244 9700 11555 11640 12125 13866 14550 18488 19400 23110 23280 24250 27732 29100 34665 36375 36976 38800 46220 48500 55464 57775 58200 69330 72750 92440 97000 110928 115550 116400 138660 145500 173325 184880 194000 224167 231100 277320 288875 291000 346650 448334 462200 554640 577750 582000 672501 693300 866625 896668 924400 1120835 1155500 1345002 1386600 1733250 1793336 2241670 2311000 2690004 2773200 3362505 3466500 3586672 4483340 4622000 5380008 5604175 6725010 6933000 8966680 10760016 11208350 13450020 13866000 16812525 17933360 22416700 26900040 28020875 33625050 44833400 53800080 56041750 67250100 84062625 89666800 112083500 134500200 168125250 224167000 269000400 336250500 448334000 672501000 1345002000