Search a number
-
+
3023115440 = 245172976651
BaseRepresentation
bin1011010000110001…
…0001010010110000
321210200112011202112
42310030101102300
522142404143230
61215551504452
7134626025432
oct26414212260
97720464675
103023115440
111311519414
12704528128
13392418a07
14209702652
1512a60cd95
hexb43114b0

3023115440 has 80 divisors (see below), whose sum is σ = 7698926880. Its totient is φ = 1098854400.

The previous prime is 3023115401. The next prime is 3023115449. The reversal of 3023115440 is 445113203.

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

It is not an unprimeable number, because it can be changed into a prime (3023115449) 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, 1115 + ... + 77765.

It is an arithmetic number, because the mean of its divisors is an integer number (96236586).

Almost surely, 23023115440 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 3023115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849463440).

3023115440 is an abundant number, since it is smaller than the sum of its proper divisors (4675811440).

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

3023115440 is a wasteful number, since it uses less digits than its factorization.

3023115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76710 (or 76704 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3023115440 is about 54982.8649671877. The cubic root of 3023115440 is about 1445.9443450563.

Adding to 3023115440 its reverse (445113203), we get a palindrome (3468228643).

The spelling of 3023115440 in words is "three billion, twenty-three million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1160 1360 1972 2320 2465 3944 4930 7888 9860 19720 39440 76651 153302 306604 383255 613208 766510 1226416 1303067 1533020 2222879 2606134 3066040 4445758 5212268 6132080 6515335 8891516 10424536 11114395 13030670 17783032 20849072 22228790 26061340 35566064 37788943 44457580 52122680 75577886 88915160 104245360 151155772 177830320 188944715 302311544 377889430 604623088 755778860 1511557720 3023115440