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2142404340 = 223537965047
BaseRepresentation
bin111111110110010…
…0111111011110100
312112022022102020220
41333230213323310
513341423414330
6552331054340
7104043064536
oct17754477364
95468272226
102142404340
119aa3710aa
124b95a13b0
13281b16b9b
14164767856
15c8141710
hex7fb27ef4

2142404340 has 48 divisors (see below), whose sum is σ = 6160866432. Its totient is φ = 555866496.

The previous prime is 2142404333. The next prime is 2142404419. The reversal of 2142404340 is 434042412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142404340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480304 + ... + 484743.

It is an arithmetic number, because the mean of its divisors is an integer number (128351384).

Almost surely, 22142404340 is an apocalyptic number.

2142404340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142404340 is an abundant number, since it is smaller than the sum of its proper divisors (4018462092).

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

2142404340 is a wasteful number, since it uses less digits than its factorization.

2142404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965096 (or 965094 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2142404340 is about 46286.1139003913. The cubic root of 2142404340 is about 1289.1411746480.

Adding to 2142404340 its reverse (434042412), we get a palindrome (2576446752).

The spelling of 2142404340 in words is "two billion, one hundred forty-two million, four hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 965047 1930094 2895141 3860188 4825235 5790282 9650470 11580564 14475705 19300940 28951410 35706739 57902820 71413478 107120217 142826956 178533695 214240434 357067390 428480868 535601085 714134780 1071202170 2142404340