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310044144 = 243311012063
BaseRepresentation
bin10010011110101…
…110010111110000
3210121101212121110
4102132232113300
51113332403034
650433153320
710453221534
oct2236562760
9717355543
10310044144
1114a014833
12879bb840
134c306797
142d269bc4
151c344de9
hex127ae5f0

310044144 has 80 divisors (see below), whose sum is σ = 835375104. Its totient is φ = 98976000.

The previous prime is 310044143. The next prime is 310044179. The reversal of 310044144 is 441440013.

It is a super-2 number, since 2×3100441442 = 192254742457385472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 310044144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310044143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149257 + ... + 151319.

Almost surely, 2310044144 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 310044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417687552).

310044144 is an abundant number, since it is smaller than the sum of its proper divisors (525330960).

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

310044144 is a wasteful number, since it uses less digits than its factorization.

310044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 310044144 is about 17608.0704223944. The cubic root of 310044144 is about 676.8220686487.

Adding to 310044144 its reverse (441440013), we get a palindrome (751484157).

The spelling of 310044144 in words is "three hundred ten million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 101 124 186 202 248 303 372 404 496 606 744 808 1212 1488 1616 2063 2424 3131 4126 4848 6189 6262 8252 9393 12378 12524 16504 18786 24756 25048 33008 37572 49512 50096 63953 75144 99024 127906 150288 191859 208363 255812 383718 416726 511624 625089 767436 833452 1023248 1250178 1534872 1666904 2500356 3069744 3333808 5000712 6459253 10001424 12918506 19377759 25837012 38755518 51674024 77511036 103348048 155022072 310044144