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30070144 = 2713171063
BaseRepresentation
bin111001010110…
…1010110000000
32002120201111001
41302231112000
530144221034
62552301344
7513410026
oct162552600
962521431
1030070144
1115a79165
12a0a1854
1362cabb0
143dca716
15298ea14
hex1cad580

30070144 has 64 divisors (see below), whose sum is σ = 68372640. Its totient is φ = 13049856.

The previous prime is 30070123. The next prime is 30070147. The reversal of 30070144 is 44107003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30070147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27757 + ... + 28819.

Almost surely, 230070144 is an apocalyptic number.

30070144 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 30070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34186320).

30070144 is an abundant number, since it is smaller than the sum of its proper divisors (38302496).

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

30070144 is a wasteful number, since it uses less digits than its factorization.

30070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 30070144 is about 5483.6250783583. The cubic root of 30070144 is about 310.9652328942.

Adding to 30070144 its reverse (44107003), we get a palindrome (74177147).

The spelling of 30070144 in words is "thirty million, seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1063 1088 1664 1768 2126 2176 3536 4252 7072 8504 13819 14144 17008 18071 27638 28288 34016 36142 55276 68032 72284 110552 136064 144568 221104 234923 289136 442208 469846 578272 884416 939692 1156544 1768832 1879384 2313088 3758768 7517536 15035072 30070144