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36274356 = 223237113241
BaseRepresentation
bin1000101001100…
…0000010110100
32112020221001200
42022120002310
533241234411
63333252500
7620220066
oct212300264
975227050
1036274356
1119526508
1210194130
137690b21
144b63736
1532b7e56
hex22980b4

36274356 has 72 divisors (see below), whose sum is σ = 95399304. Its totient is φ = 11612160.

The previous prime is 36274349. The next prime is 36274369. The reversal of 36274356 is 65347263.

36274356 is a `hidden beast` number, since 36 + 274 + 356 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6200100 + 30074256 = 2490^2 + 5484^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 36274356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150396 + ... + 150636.

Almost surely, 236274356 is an apocalyptic number.

36274356 is a gapful number since it is divisible by the number (36) 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 36274356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47699652).

36274356 is an abundant number, since it is smaller than the sum of its proper divisors (59124948).

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

36274356 is a wasteful number, since it uses less digits than its factorization.

36274356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 36274356 is about 6022.8196054672. The cubic root of 36274356 is about 331.0294026205.

The spelling of 36274356 in words is "thirty-six million, two hundred seventy-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 241 333 339 444 452 482 666 678 723 964 1017 1332 1356 1446 2034 2169 2892 4068 4181 4338 8362 8676 8917 12543 16724 17834 25086 26751 27233 35668 37629 50172 53502 54466 75258 80253 81699 107004 108932 150516 160506 163398 245097 321012 326796 490194 980388 1007621 2015242 3022863 4030484 6045726 9068589 12091452 18137178 36274356