Search a number
-
+
940114320 = 243516692347
BaseRepresentation
bin111000000010010…
…000000110010000
32102111222202101220
4320002100012100
53411132124240
6233141525040
732203561035
oct7002200620
92374882356
10940114320
11442740892
12222a13780
1311ca00282
148cbdd38c
15578025d0
hex38090190

940114320 has 80 divisors (see below), whose sum is σ = 2917343040. Its totient is φ = 250440192.

The previous prime is 940114303. The next prime is 940114321. The reversal of 940114320 is 23411049.

940114320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (940114321) 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, 399387 + ... + 401733.

It is an arithmetic number, because the mean of its divisors is an integer number (36466788).

Almost surely, 2940114320 is an apocalyptic number.

940114320 is the 25035-th pentagonal number.

It is an amenable number.

940114320 is an abundant number, since it is smaller than the sum of its proper divisors (1977228720).

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

940114320 is a wasteful number, since it uses less digits than its factorization.

940114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 940114320 is about 30661.2837304637. The cubic root of 940114320 is about 979.6258185540.

Adding to 940114320 its reverse (23411049), we get a palindrome (963525369).

The spelling of 940114320 in words is "nine hundred forty million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1669 2347 3338 4694 5007 6676 7041 8345 9388 10014 11735 13352 14082 16690 18776 20028 23470 25035 26704 28164 33380 35205 37552 40056 46940 50070 56328 66760 70410 80112 93880 100140 112656 133520 140820 187760 200280 281640 400560 563280 3917143 7834286 11751429 15668572 19585715 23502858 31337144 39171430 47005716 58757145 62674288 78342860 94011432 117514290 156685720 188022864 235028580 313371440 470057160 940114320