Search a number
-
+
33470496 = 253437349
BaseRepresentation
bin111111110101…
…1100000100000
32022222110220000
41333223200200
532032023441
63153220000
7554331423
oct177534040
968873800
1033470496
1117990974
12b261600
136c1b837
1446339ba
152e122b6
hex1feb820

33470496 has 120 divisors (see below), whose sum is σ = 101385900. Its totient is φ = 10824192.

The previous prime is 33470477. The next prime is 33470513. The reversal of 33470496 is 69407433.

It can be written as a sum of positive squares in 2 ways, for example, as 29550096 + 3920400 = 5436^2 + 1980^2 .

It is a super-2 number, since 2×334704962 = 2240548204972032, which contains 22 as substring.

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 33470496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95730 + ... + 96078.

Almost surely, 233470496 is an apocalyptic number.

33470496 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 33470496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50692950).

33470496 is an abundant number, since it is smaller than the sum of its proper divisors (67915404).

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

33470496 is a wasteful number, since it uses less digits than its factorization.

33470496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

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

The square root of 33470496 is about 5785.3691325619. The cubic root of 33470496 is about 322.2706211001.

The spelling of 33470496 in words is "thirty-three million, four hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 349 432 444 592 648 666 698 864 888 999 1047 1184 1296 1332 1396 1776 1998 2094 2592 2664 2792 2997 3141 3552 3996 4188 5328 5584 5994 6282 7992 8376 9423 10656 11168 11988 12564 12913 15984 16752 18846 23976 25128 25826 28269 31968 33504 37692 38739 47952 50256 51652 56538 75384 77478 95904 100512 103304 113076 116217 150768 154956 206608 226152 232434 301536 309912 348651 413216 452304 464868 619824 697302 904608 929736 1045953 1239648 1394604 1859472 2091906 2789208 3718944 4183812 5578416 8367624 11156832 16735248 33470496