Search a number
-
+
36390744 = 233213172287
BaseRepresentation
bin1000101011010…
…0011101011000
32112110211201100
42022310131120
533304000434
63335551400
7621213315
oct212643530
975424640
1036390744
11195a59a5
121022b560
137701ab0
144b93d0c
1532dc699
hex22b4758

36390744 has 96 divisors (see below), whose sum is σ = 112432320. Its totient is φ = 10533888.

The previous prime is 36390713. The next prime is 36390749. The reversal of 36390744 is 44709363.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 36390699 and 36390708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36390749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14769 + ... + 17055.

It is an arithmetic number, because the mean of its divisors is an integer number (1171170).

Almost surely, 236390744 is an apocalyptic number.

36390744 is a gapful number since it is divisible by the number (34) 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 36390744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56216160).

36390744 is an abundant number, since it is smaller than the sum of its proper divisors (76041576).

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

36390744 is a wasteful number, since it uses less digits than its factorization.

36390744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 36390744 is about 6032.4741192980. The cubic root of 36390744 is about 331.3830658462.

The spelling of 36390744 in words is "thirty-six million, three hundred ninety thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2287 2652 3978 4574 5304 6861 7956 9148 13722 15912 18296 20583 27444 29731 38879 41166 54888 59462 77758 82332 89193 116637 118924 155516 164664 178386 233274 237848 267579 311032 349911 356772 466548 505427 535158 699822 713544 933096 1010854 1070316 1399644 1516281 2021708 2140632 2799288 3032562 4043416 4548843 6065124 9097686 12130248 18195372 36390744