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2987640348 = 2237211597829
BaseRepresentation
bin1011001000010011…
…1100011000011100
321201012202212002020
42302010330120130
522104313442343
61212243300140
7134015344500
oct26204743034
97635685066
102987640348
1112a3499460
126b467a650
13387c77934
14204b0a300
15127451b83
hexb213c61c

2987640348 has 144 divisors (see below), whose sum is σ = 8997609600. Its totient is φ = 762760320.

The previous prime is 2987640319. The next prime is 2987640353. The reversal of 2987640348 is 8430467892.

It is a super-2 number, since 2×29876403482 = 17851989697995122208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2987640348.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377698 + ... + 385526.

It is an arithmetic number, because the mean of its divisors is an integer number (62483400).

Almost surely, 22987640348 is an apocalyptic number.

2987640348 is a gapful number since it is divisible by the number (28) 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 2987640348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498804800).

2987640348 is an abundant number, since it is smaller than the sum of its proper divisors (6009969252).

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

2987640348 is a wasteful number, since it uses less digits than its factorization.

2987640348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 2987640348 is about 54659.3116312308. The cubic root of 2987640348 is about 1440.2662104281.

The spelling of 2987640348 in words is "two billion, nine hundred eighty-seven million, six hundred forty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 59 66 77 84 98 118 132 147 154 177 196 231 236 294 308 354 413 462 539 588 649 708 826 924 1078 1239 1298 1617 1652 1947 2156 2478 2596 2891 3234 3894 4543 4956 5782 6468 7788 7829 8673 9086 11564 13629 15658 17346 18172 23487 27258 31316 31801 34692 46974 54516 54803 63602 86119 93948 95403 109606 127204 164409 172238 190806 219212 258357 328818 344476 381612 383621 461911 516714 602833 657636 767242 923822 1033428 1150863 1205666 1385733 1534484 1808499 1847644 2301726 2411332 2771466 3233377 3616998 4219831 4603452 5081021 5542932 6466754 7233996 8439662 9700131 10162042 12659493 12933508 15243063 16879324 19400262 20324084 22633639 25318986 30486126 35567147 38800524 45267278 50637972 60972252 67900917 71134294 90534556 106701441 135801834 142268588 213402882 248970029 271603668 426805764 497940058 746910087 995880116 1493820174 2987640348