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30418144 = 2523371117
BaseRepresentation
bin111010000001…
…0010011100000
32010020101211221
41310002103200
530241340034
63003544424
7516356431
oct164022340
963211757
1030418144
1116196669
12a22b114
1363c0403
14407b488
152a0cbb4
hex1d024e0

30418144 has 48 divisors (see below), whose sum is σ = 64235808. Its totient is φ = 14141952.

The previous prime is 30418139. The next prime is 30418147. The reversal of 30418144 is 44181403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30418147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26674 + ... + 27790.

It is an arithmetic number, because the mean of its divisors is an integer number (1338246).

Almost surely, 230418144 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 30418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32117904).

30418144 is an abundant number, since it is smaller than the sum of its proper divisors (33817664).

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

30418144 is a wasteful number, since it uses less digits than its factorization.

30418144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 30418144 is about 5515.2646355365. The cubic root of 30418144 is about 312.1602288985.

Adding to 30418144 its reverse (44181403), we get a palindrome (74599547).

The spelling of 30418144 in words is "thirty million, four hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 184 296 368 592 736 851 1117 1184 1702 2234 3404 4468 6808 8936 13616 17872 25691 27232 35744 41329 51382 82658 102764 165316 205528 330632 411056 661264 822112 950567 1322528 1901134 3802268 7604536 15209072 30418144