Search a number
-
+
3335143440 = 243523715861
BaseRepresentation
bin1100011011001010…
…0100000000010000
322121102122211201010
43012302210000100
523312244042230
61310535410520
7145435152156
oct30662440020
98542584633
103335143440
1114616686a2
12790b23a40
13411c68475
14238d273d6
15147be59b0
hexc6ca4010

3335143440 has 80 divisors (see below), whose sum is σ = 10345070016. Its totient is φ = 888844800.

The previous prime is 3335143439. The next prime is 3335143447. The reversal of 3335143440 is 443415333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33351434402 = 22246363530750067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3335143398 and 3335143407.

It is not an unprimeable number, because it can be changed into a prime (3335143447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566110 + ... + 571970.

Almost surely, 23335143440 is an apocalyptic number.

3335143440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3335143440 is an abundant number, since it is smaller than the sum of its proper divisors (7009926576).

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

3335143440 is a wasteful number, since it uses less digits than its factorization.

3335143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3335143440 is about 57750.7007749690. The cubic root of 3335143440 is about 1494.0719272765.

Adding to 3335143440 its reverse (443415333), we get a palindrome (3778558773).

The spelling of 3335143440 in words is "three billion, three hundred thirty-five million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2371 4742 5861 7113 9484 11722 11855 14226 17583 18968 23444 23710 28452 29305 35166 35565 37936 46888 47420 56904 58610 70332 71130 87915 93776 94840 113808 117220 140664 142260 175830 189680 234440 281328 284520 351660 468880 569040 703320 1406640 13896431 27792862 41689293 55585724 69482155 83378586 111171448 138964310 166757172 208446465 222342896 277928620 333514344 416892930 555857240 667028688 833785860 1111714480 1667571720 3335143440