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3334140040 = 2357115471979
BaseRepresentation
bin1100011010111010…
…1111000010001000
322121100202212022011
43012232233002020
523312014440130
61310502105304
7145423502620
oct30656570210
98540685264
103334140040
111461042840
1279071b234
134119a683a
14238b45880
15147a9852a
hexc6baf088

3334140040 has 128 divisors (see below), whose sum is σ = 9374745600. Its totient is φ = 1036788480.

The previous prime is 3334140031. The next prime is 3334140067. The reversal of 3334140040 is 400414333.

It is a super-2 number, since 2×33341400402 = 22232979612662403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3334139993 and 3334140020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683771 + ... + 1685749.

It is an arithmetic number, because the mean of its divisors is an integer number (73240200).

Almost surely, 23334140040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687372800).

3334140040 is an abundant number, since it is smaller than the sum of its proper divisors (6040605560).

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

3334140040 is a wasteful number, since it uses less digits than its factorization.

3334140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3334140040 is about 57742.0127809899. The cubic root of 3334140040 is about 1493.9220784352.

Adding to 3334140040 its reverse (400414333), we get a palindrome (3734554373).

The spelling of 3334140040 in words is "three billion, three hundred thirty-four million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 547 616 770 1094 1540 1979 2188 2735 3080 3829 3958 4376 5470 6017 7658 7916 9895 10940 12034 13853 15316 15832 19145 19790 21769 21880 24068 27706 30085 30632 38290 39580 42119 43538 48136 55412 60170 69265 76580 79160 84238 87076 108845 110824 120340 138530 152383 153160 168476 174152 210595 217690 240680 277060 304766 336952 421190 435380 554120 609532 761915 842380 870760 1082513 1219064 1523830 1684760 2165026 3047660 4330052 5412565 6095320 7577591 8660104 10825130 11907643 15155182 21650260 23815286 30310364 37887955 43300520 47630572 59538215 60620728 75775910 83353501 95261144 119076430 151551820 166707002 238152860 303103640 333414004 416767505 476305720 666828008 833535010 1667070020 3334140040