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3442030020 = 223251113133723
BaseRepresentation
bin1100110100101001…
…0011010111000100
322212212210020112100
43031022103113010
524022124430040
61325314352100
7151203525642
oct31512232704
98785706470
103442030020
111506a33110
1280088b630
1342b150670
142491cc192
151522aab30
hexcd2935c4

3442030020 has 144 divisors (see below), whose sum is σ = 12266235072. Its totient is φ = 770238720.

The previous prime is 3442029989. The next prime is 3442030027. The reversal of 3442030020 is 200302443.

3442030020 is a `hidden beast` number, since 344 + 2 + 0 + 300 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3442029975 and 3442030002.

It is not an unprimeable number, because it can be changed into a prime (3442030027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41122 + ... + 92601.

It is an arithmetic number, because the mean of its divisors is an integer number (85182188).

Almost surely, 23442030020 is an apocalyptic number.

3442030020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442030020 is an abundant number, since it is smaller than the sum of its proper divisors (8824205052).

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

3442030020 is a wasteful number, since it uses less digits than its factorization.

3442030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133762 (or 133757 counting only the distinct ones).

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

The square root of 3442030020 is about 58668.8164189461. The cubic root of 3442030020 is about 1509.8653476994.

Adding to 3442030020 its reverse (200302443), we get a palindrome (3642332463).

The spelling of 3442030020 in words is "three billion, four hundred forty-two million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 133723 267446 401169 534892 668615 802338 1203507 1337230 1470953 1604676 1738399 2005845 2407014 2674460 2941906 3476798 4011690 4412859 4814028 5215197 5883812 6017535 6953596 7354765 8023380 8691995 8825718 10430394 12035070 13238577 14709530 15645591 17383990 17651436 19122389 20860788 22064295 24070140 26075985 26477154 29419060 31291182 34767980 38244778 44128590 52151970 52954308 57367167 62582364 66192885 76489556 78227955 88257180 95611945 104303940 114734334 132385770 156455910 172101501 191223890 229468668 264771540 286835835 312911820 344203002 382447780 573671670 688406004 860507505 1147343340 1721015010 3442030020