Search a number
-
+
30294544 = 2472172273
BaseRepresentation
bin111001110010…
…0001000010000
32010000010022011
41303210020100
530223411134
63001152304
7515333200
oct163441020
963003264
1030294544
1116111815
12a18b694
136379087
144048400
1529d6264
hex1ce4210

30294544 has 60 divisors (see below), whose sum is σ = 72326844. Its totient is φ = 12214272.

The previous prime is 30294541. The next prime is 30294547. The reversal of 30294544 is 44549203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30294541) and next prime (30294547).

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 4892944 = 5040^2 + 2212^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30294541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12192 + ... + 14464.

Almost surely, 230294544 is an apocalyptic number.

30294544 is a gapful number since it is divisible by the number (34) 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 30294544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36163422).

30294544 is an abundant number, since it is smaller than the sum of its proper divisors (42032300).

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

30294544 is a wasteful number, since it uses less digits than its factorization.

30294544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 30294544 is about 5504.0479649073. The cubic root of 30294544 is about 311.7368480207.

The spelling of 30294544 in words is "thirty million, two hundred ninety-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 2273 3332 4546 6664 9092 13328 15911 18184 31822 36368 38641 63644 77282 111377 127288 154564 222754 254576 270487 309128 445508 540974 618256 891016 1081948 1782032 1893409 2163896 3786818 4327792 7573636 15147272 30294544