Search a number
-
+
36434772 = 22341110223
BaseRepresentation
bin1000101011111…
…1001101010100
32112120002010000
42022333031110
533311403042
63340531300
7621455553
oct212771524
975502100
1036434772
1119625a90
1210250b30
137718b4a
144ba5d9a
1532ea74c
hex22bf354

36434772 has 60 divisors (see below), whose sum is σ = 103916736. Its totient is φ = 11039760.

The previous prime is 36434771. The next prime is 36434779. The reversal of 36434772 is 27743463.

It is a happy number.

36434772 is a `hidden beast` number, since 3 + 643 + 4 + 7 + 7 + 2 = 666.

It is a super-2 number, since 2×364347722 = 2654985221383968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36434771) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1548 + ... + 8675.

Almost surely, 236434772 is an apocalyptic number.

It is an amenable number.

36434772 is an abundant number, since it is smaller than the sum of its proper divisors (67481964).

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

36434772 is a wasteful number, since it uses less digits than its factorization.

36434772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10239 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 36434772 is about 6036.1222651633. The cubic root of 36434772 is about 331.5166552513.

The spelling of 36434772 in words is "thirty-six million, four hundred thirty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 10223 20446 30669 40892 61338 92007 112453 122676 184014 224906 276021 337359 368028 449812 552042 674718 828063 1012077 1104084 1349436 1656126 2024154 3036231 3312252 4048308 6072462 9108693 12144924 18217386 36434772