Search a number
-
+
2364239340 = 223551034723
BaseRepresentation
bin1000110011101011…
…0110110111101100
320002202201210200000
42030322312313230
514320221124330
61030333504300
7112405463031
oct21472666754
96082653600
102364239340
111003608011
1255b942090
132b8a778b8
14185dd1388
15dc860560
hex8ceb6dec

2364239340 has 144 divisors (see below), whose sum is σ = 7510933248. Its totient is φ = 624210624.

The previous prime is 2364239309. The next prime is 2364239341. The reversal of 2364239340 is 439324632.

2364239340 is a `hidden beast` number, since 2 + 3 + 642 + 3 + 9 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2364239295 and 2364239304.

It is not an unprimeable number, because it can be changed into a prime (2364239341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498219 + ... + 502941.

Almost surely, 22364239340 is an apocalyptic number.

2364239340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2364239340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755466624).

2364239340 is an abundant number, since it is smaller than the sum of its proper divisors (5146693908).

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

2364239340 is a wasteful number, since it uses less digits than its factorization.

2364239340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 2364239340 is about 48623.4443452950. Note that the first 3 decimals coincide. The cubic root of 2364239340 is about 1332.1827725819.

The spelling of 2364239340 in words is "two billion, three hundred sixty-four million, two hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 243 270 309 324 405 412 486 515 540 618 810 927 972 1030 1215 1236 1545 1620 1854 2060 2430 2781 3090 3708 4635 4723 4860 5562 6180 8343 9270 9446 11124 13905 14169 16686 18540 18892 23615 25029 27810 28338 33372 41715 42507 47230 50058 55620 56676 70845 83430 85014 94460 100116 125145 127521 141690 166860 170028 212535 250290 255042 283380 382563 425070 486469 500580 510084 637605 765126 850140 972938 1147689 1275210 1459407 1530252 1912815 1945876 2295378 2432345 2550420 2918814 3825630 4378221 4590756 4864690 5738445 5837628 7297035 7651260 8756442 9729380 11476890 13134663 14594070 17512884 21891105 22953780 26269326 29188140 39403989 43782210 52538652 65673315 78807978 87564420 118211967 131346630 157615956 197019945 236423934 262693260 394039890 472847868 591059835 788079780 1182119670 2364239340