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2919820340 = 2252916133121
BaseRepresentation
bin1010111000001000…
…1110110000110100
321112111011020112002
42232002032300310
521434433222330
61201421514432
7132233030513
oct25602166064
97474136462
102919820340
111269187268
12695a12a18
13376bc0458
141d9ad467a
15121506e45
hexae08ec34

2919820340 has 48 divisors (see below), whose sum is σ = 6349024080. Its totient is φ = 1126594560.

The previous prime is 2919820291. The next prime is 2919820349. The reversal of 2919820340 is 430289192.

It can be written as a sum of positive squares in 8 ways, for example, as 393149584 + 2526670756 = 19828^2 + 50266^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2919820294 and 2919820303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2919820349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933980 + ... + 937100.

It is an arithmetic number, because the mean of its divisors is an integer number (132271335).

Almost surely, 22919820340 is an apocalyptic number.

2919820340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2919820340 is an abundant number, since it is smaller than the sum of its proper divisors (3429203740).

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

2919820340 is a wasteful number, since it uses less digits than its factorization.

2919820340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2919820340 is about 54035.3619401221. The cubic root of 2919820340 is about 1429.2845851737.

The spelling of 2919820340 in words is "two billion, nine hundred nineteen million, eight hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1613 3121 3226 6242 6452 8065 12484 15605 16130 31210 32260 46777 62420 90509 93554 181018 187108 233885 362036 452545 467770 905090 935540 1810180 5034173 10068346 20136692 25170865 50341730 100683460 145991017 291982034 583964068 729955085 1459910170 2919820340