Search a number
-
+
30744896 = 267135279
BaseRepresentation
bin111010101001…
…0000101000000
32010212000001212
41311102011000
530332314041
63014545252
7522220160
oct165220500
963760055
1030744896
111639a106
12a368228
1364a6060
1441245a0
152a748eb
hex1d52140

30744896 has 56 divisors (see below), whose sum is σ = 75102720. Its totient is φ = 12160512.

The previous prime is 30744881. The next prime is 30744911. The reversal of 30744896 is 69844703.

It is an interprime number because it is at equal distance from previous prime (30744881) and next prime (30744911).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3185 + ... + 8463.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 230744896 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 30744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

30744896 is an abundant number, since it is smaller than the sum of its proper divisors (44357824).

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

30744896 is a wasteful number, since it uses less digits than its factorization.

30744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 30744896 is about 5544.8080219247. The cubic root of 30744896 is about 313.2739930884.

The spelling of 30744896 in words is "thirty million, seven hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5279 5824 10558 21116 36953 42232 68627 73906 84464 137254 147812 168928 274508 295624 337856 480389 549016 591248 960778 1098032 1182496 1921556 2196064 2364992 3843112 4392128 7686224 15372448 30744896