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4301242440 = 2335114876691
BaseRepresentation
bin1000000000101111…
…11100000001001000
3102002202112202101120
410000113330001020
532302104224230
61550450315240
7211405646265
oct40027740110
912082482346
104301242440
111907a37120
12a00588b20
13537165b91
142cb36c26c
151a292c310
hex1005fc048

4301242440 has 128 divisors (see below), whose sum is σ = 14107806720. Its totient is φ = 1040428800.

The previous prime is 4301242433. The next prime is 4301242441. The reversal of 4301242440 is 442421034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4301242440.

It is not an unprimeable number, because it can be changed into a prime (4301242441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639495 + ... + 646185.

It is an arithmetic number, because the mean of its divisors is an integer number (110217240).

Almost surely, 24301242440 is an apocalyptic number.

4301242440 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 4301242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053903360).

4301242440 is an abundant number, since it is smaller than the sum of its proper divisors (9806564280).

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

4301242440 is a wasteful number, since it uses less digits than its factorization.

4301242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7199 counting only the distinct ones).

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

The square root of 4301242440 is about 65583.8580749867. The cubic root of 4301242440 is about 1626.2899346667.

Adding to 4301242440 its reverse (442421034), we get a palindrome (4743663474).

The spelling of 4301242440 in words is "four billion, three hundred one million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 487 660 974 1320 1461 1948 2435 2922 3896 4870 5357 5844 6691 7305 9740 10714 11688 13382 14610 16071 19480 20073 21428 26764 26785 29220 32142 33455 40146 42856 53528 53570 58440 64284 66910 73601 80292 80355 100365 107140 128568 133820 147202 160584 160710 200730 214280 220803 267640 294404 321420 368005 401460 441606 588808 642840 736010 802920 883212 1104015 1472020 1766424 2208030 2944040 3258517 4416060 6517034 8832120 9775551 13034068 16292585 19551102 26068136 32585170 35843687 39102204 48877755 65170340 71687374 78204408 97755510 107531061 130340680 143374748 179218435 195511020 215062122 286749496 358436870 391022040 430124244 537655305 716873740 860248488 1075310610 1433747480 2150621220 4301242440