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2943018040 = 235433474931
BaseRepresentation
bin1010111101101010…
…1110010000111000
321121002210210210011
42233122232100320
522011403034130
61204011031304
7132634145344
oct25732562070
97532723704
102943018040
111280291016
126a173b534
1337b9531c1
141dcc12624
1512358a52a
hexaf6ae438

2943018040 has 64 divisors (see below), whose sum is σ = 6796690560. Its totient is φ = 1146284160.

The previous prime is 2943017989. The next prime is 2943018059. The reversal of 2943018040 is 408103492.

It is a super-2 number, since 2×29430180402 = 17322710367530883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2943017993 and 2943018011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594375 + ... + 599305.

It is an arithmetic number, because the mean of its divisors is an integer number (106198290).

Almost surely, 22943018040 is an apocalyptic number.

2943018040 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 2943018040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398345280).

2943018040 is an abundant number, since it is smaller than the sum of its proper divisors (3853672520).

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

2943018040 is a wasteful number, since it uses less digits than its factorization.

2943018040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2943018040 is about 54249.5902288672. The cubic root of 2943018040 is about 1433.0597824216.

The spelling of 2943018040 in words is "two billion, nine hundred forty-three million, eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 347 430 694 860 1388 1720 1735 2776 3470 4931 6940 9862 13880 14921 19724 24655 29842 39448 49310 59684 74605 98620 119368 149210 197240 212033 298420 424066 596840 848132 1060165 1696264 1711057 2120330 3422114 4240660 6844228 8481320 8555285 13688456 17110570 34221140 68442280 73575451 147150902 294301804 367877255 588603608 735754510 1471509020 2943018040