Search a number
-
+
2363151240 = 233352339391
BaseRepresentation
bin1000110011011010…
…1101001110001000
320002200200112002000
42030312231032020
514314431314430
61030254311000
7112363311522
oct21466551610
96080615060
102363151240
111002a3455a
1255b4b8460
132b8786558
14185bcaa12
15dc6e7e60
hex8cdad388

2363151240 has 128 divisors (see below), whose sum is σ = 7911820800. Its totient is φ = 627402240.

The previous prime is 2363151221. The next prime is 2363151289. The reversal of 2363151240 is 421513632.

2363151240 is a `hidden beast` number, since 2 + 3 + 631 + 5 + 1 + 24 + 0 = 666.

It is a super-2 number, since 2×23631512402 = 11168967566227075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 246945 + ... + 256335.

It is an arithmetic number, because the mean of its divisors is an integer number (61811100).

Almost surely, 22363151240 is an apocalyptic number.

2363151240 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 2363151240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955910400).

2363151240 is an abundant number, since it is smaller than the sum of its proper divisors (5548669560).

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

2363151240 is a wasteful number, since it uses less digits than its factorization.

2363151240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2363151240 is about 48612.2540106916. The cubic root of 2363151240 is about 1331.9783699109.

Adding to 2363151240 its reverse (421513632), we get a palindrome (2784664872).

The spelling of 2363151240 in words is "two billion, three hundred sixty-three million, one hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 233 270 360 466 540 699 932 1080 1165 1398 1864 2097 2330 2796 3495 4194 4660 5592 6291 6990 8388 9320 9391 10485 12582 13980 16776 18782 20970 25164 27960 28173 31455 37564 41940 46955 50328 56346 62910 75128 83880 84519 93910 112692 125820 140865 169038 187820 225384 251640 253557 281730 338076 375640 422595 507114 563460 676152 845190 1014228 1126920 1267785 1690380 2028456 2188103 2535570 3380760 4376206 5071140 6564309 8752412 10142280 10940515 13128618 17504824 19692927 21881030 26257236 32821545 39385854 43762060 52514472 59078781 65643090 78771708 87524120 98464635 118157562 131286180 157543416 196929270 236315124 262572360 295393905 393858540 472630248 590787810 787717080 1181575620 2363151240