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4345110440 = 23511431791283
BaseRepresentation
bin1000000101111110…
…10001111110101000
3102012211002110222022
410002333101332220
532344322013230
61555054444012
7212450554316
oct40277217650
912184073868
104345110440
11192a779870
12a13203608
13543285188
142d310b0b6
151a66e51e5
hex102fd1fa8

4345110440 has 128 divisors (see below), whose sum is σ = 10982822400. Its totient is φ = 1533477120.

The previous prime is 4345110433. The next prime is 4345110457. The reversal of 4345110440 is 440115434.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 3386039 + ... + 3387321.

It is an arithmetic number, because the mean of its divisors is an integer number (85803300).

Almost surely, 24345110440 is an apocalyptic number.

4345110440 is a gapful number since it is divisible by the number (40) 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 4345110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491411200).

4345110440 is an abundant number, since it is smaller than the sum of its proper divisors (6637711960).

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

4345110440 is a wasteful number, since it uses less digits than its factorization.

4345110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4345110440 is about 65917.4517104537. The cubic root of 4345110440 is about 1631.8000413814.

Adding to 4345110440 its reverse (440115434), we get a palindrome (4785225874).

The spelling of 4345110440 in words is "four billion, three hundred forty-five million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 179 215 220 344 358 430 440 473 716 860 895 946 1283 1432 1720 1790 1892 1969 2365 2566 3580 3784 3938 4730 5132 6415 7160 7697 7876 9460 9845 10264 12830 14113 15394 15752 18920 19690 25660 28226 30788 38485 39380 51320 55169 56452 61576 70565 76970 78760 84667 110338 112904 141130 153940 169334 220676 229657 275845 282260 307880 338668 423335 441352 459314 551690 564520 606859 677336 846670 918628 1103380 1148285 1213718 1693340 1837256 2206760 2296570 2427436 2526227 3034295 3386680 4593140 4854872 5052454 6068590 9186280 9875251 10104908 12137180 12631135 19750502 20209816 24274360 25262270 39501004 49376255 50524540 79002008 98752510 101049080 108627761 197505020 217255522 395010040 434511044 543138805 869022088 1086277610 2172555220 4345110440