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1345011000 = 233531812477
BaseRepresentation
bin101000000101011…
…0011110100111000
310110201212122020020
41100022303310320
510223310323000
6341244130440
745221255604
oct12012636470
93421778206
101345011000
11630250743
12316536a20
131858675c8
14ca8ba504
157d131ba0
hex502b3d38

1345011000 has 128 divisors (see below), whose sum is σ = 4221322560. Its totient is φ = 356544000.

The previous prime is 1345010983. The next prime is 1345011037. The reversal of 1345011000 is 1105431.

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

It is a congruent number.

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, 541762 + ... + 544238.

Almost surely, 21345011000 is an apocalyptic number.

1345011000 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 1345011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110661280).

1345011000 is an abundant number, since it is smaller than the sum of its proper divisors (2876311560).

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

1345011000 is a wasteful number, since it uses less digits than its factorization.

1345011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1345011000 is about 36674.3916104957. The cubic root of 1345011000 is about 1103.8463147232.

Adding to 1345011000 its reverse (1105431), we get a palindrome (1346116431).

The spelling of 1345011000 in words is "one billion, three hundred forty-five million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 181 200 250 300 362 375 500 543 600 724 750 905 1000 1086 1448 1500 1810 2172 2477 2715 3000 3620 4344 4525 4954 5430 7240 7431 9050 9908 10860 12385 13575 14862 18100 19816 21720 22625 24770 27150 29724 36200 37155 45250 49540 54300 59448 61925 67875 74310 90500 99080 108600 123850 135750 148620 181000 185775 247700 271500 297240 309625 371550 448337 495400 543000 619250 743100 896674 928875 1238500 1345011 1486200 1793348 1857750 2241685 2477000 2690022 3586696 3715500 4483370 5380044 6725055 7431000 8966740 10760088 11208425 13450110 17933480 22416850 26900220 33625275 44833700 53800440 56042125 67250550 89667400 112084250 134501100 168126375 224168500 269002200 336252750 448337000 672505500 1345011000