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2330042040 = 2332516933823
BaseRepresentation
bin1000101011100001…
…1001111010111000
320000101101101210100
42022320121322320
514232442321130
61023112515400
7111512013324
oct21270317270
96011341710
102330042040
11a96280087
125503abb60
132b1963301
1418164c984
15d9857c60
hex8ae19eb8

2330042040 has 96 divisors (see below), whose sum is σ = 7579091520. Its totient is φ = 620815104.

The previous prime is 2330042009. The next prime is 2330042041. The reversal of 2330042040 is 402400332.

2330042040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330042041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607569 + ... + 611391.

It is an arithmetic number, because the mean of its divisors is an integer number (78948870).

Almost surely, 22330042040 is an apocalyptic number.

2330042040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330042040 is an abundant number, since it is smaller than the sum of its proper divisors (5249049480).

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

2330042040 is a wasteful number, since it uses less digits than its factorization.

2330042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2330042040 is about 48270.5090091248. The cubic root of 2330042040 is about 1325.7284784919.

Adding to 2330042040 its reverse (402400332), we get a palindrome (2732442372).

The spelling of 2330042040 in words is "two billion, three hundred thirty million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1693 3386 3823 5079 6772 7646 8465 10158 11469 13544 15237 15292 16930 19115 20316 22938 25395 30474 30584 33860 34407 38230 40632 45876 50790 57345 60948 67720 68814 76185 76460 91752 101580 114690 121896 137628 152370 152920 172035 203160 229380 275256 304740 344070 458760 609480 688140 1376280 6472339 12944678 19417017 25889356 32361695 38834034 51778712 58251051 64723390 77668068 97085085 116502102 129446780 155336136 194170170 233004204 258893560 291255255 388340340 466008408 582510510 776680680 1165021020 2330042040