Search a number
-
+
34156544 = 21231269
BaseRepresentation
bin1000001001001…
…1000000000000
32101021022222012
42002103000000
532221002134
63220032052
7563216522
oct202230000
971238865
1034156544
111830a354
12b532628
1370cbb96
144771a12
152eea6ce
hex2093000

34156544 has 52 divisors (see below), whose sum is σ = 70770240. Its totient is φ = 16465920.

The previous prime is 34156531. The next prime is 34156579. The reversal of 34156544 is 44565143.

It is a super-4 number, since 4×341565444 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34156544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126842 + ... + 127110.

Almost surely, 234156544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34156544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35385120).

34156544 is an abundant number, since it is smaller than the sum of its proper divisors (36613696).

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

34156544 is an equidigital number, since it uses as much as digits as its factorization.

34156544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 34156544 is about 5844.3600162892. The cubic root of 34156544 is about 324.4576168349.

The spelling of 34156544 in words is "thirty-four million, one hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 269 496 512 538 992 1024 1076 1984 2048 2152 3968 4096 4304 7936 8339 8608 15872 16678 17216 31744 33356 34432 63488 66712 68864 126976 133424 137728 266848 275456 533696 550912 1067392 1101824 2134784 4269568 8539136 17078272 34156544