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2034312140 = 2257171944987
BaseRepresentation
bin111100101000001…
…0010001111001100
312020202220202122002
41321100102033030
513131240442030
6533510211432
7101261240120
oct17120221714
95222822562
102034312140
11954352903
12489353b78
132655cbcc3
1415426b580
15bd8de245
hex794123cc

2034312140 has 96 divisors (see below), whose sum is σ = 5441748480. Its totient is φ = 621886464.

The previous prime is 2034312127. The next prime is 2034312143. The reversal of 2034312140 is 412134302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2034312143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22727 + ... + 67713.

It is an arithmetic number, because the mean of its divisors is an integer number (56684880).

Almost surely, 22034312140 is an apocalyptic number.

2034312140 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 2034312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720874240).

2034312140 is an abundant number, since it is smaller than the sum of its proper divisors (3407436340).

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

2034312140 is a wasteful number, since it uses less digits than its factorization.

2034312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45039 (or 45037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2034312140 is about 45103.3495430217. The cubic root of 2034312140 is about 1267.0853323653.

Adding to 2034312140 its reverse (412134302), we get a palindrome (2446446442).

The spelling of 2034312140 in words is "two billion, thirty-four million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 532 595 646 665 1190 1292 1330 1615 2261 2380 2660 3230 4522 6460 9044 11305 22610 44987 45220 89974 179948 224935 314909 449870 629818 764779 854753 899740 1259636 1529558 1574545 1709506 3059116 3149090 3419012 3823895 4273765 5353453 5983271 6298180 7647790 8547530 10706906 11966542 14530801 15295580 17095060 21413812 23933084 26767265 29061602 29916355 53534530 58123204 59832710 72654005 101715607 107069060 119665420 145308010 203431214 290616020 406862428 508578035 1017156070 2034312140