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420271344 = 24325321039
BaseRepresentation
bin11001000011001…
…101010011110000
31002021210222220100
4121003031103300
51330042140334
6105411512400
713262150613
oct3103152360
91067728810
10420271344
111a6261099
12b88b8700
13690bb38c
143db6017a
1526d69c99
hex190cd4f0

420271344 has 90 divisors (see below), whose sum is σ = 1199940560. Its totient is φ = 137314944.

The previous prime is 420271339. The next prime is 420271349. The reversal of 420271344 is 443172024.

It is an interprime number because it is at equal distance from previous prime (420271339) and next prime (420271349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420271349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 403977 + ... + 405015.

Almost surely, 2420271344 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 420271344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599970280).

420271344 is an abundant number, since it is smaller than the sum of its proper divisors (779669216).

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

420271344 is a wasteful number, since it uses less digits than its factorization.

420271344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 420271344 is about 20500.5205787560. The cubic root of 420271344 is about 749.0484786534.

The spelling of 420271344 in words is "four hundred twenty million, two hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1039 1272 1908 2078 2544 2809 3117 3816 4156 5618 6234 7632 8312 8427 9351 11236 12468 16624 16854 18702 22472 24936 25281 33708 37404 44944 49872 50562 55067 67416 74808 101124 110134 134832 149616 165201 202248 220268 330402 404496 440536 495603 660804 881072 991206 1321608 1982412 2643216 2918551 3964824 5837102 7929648 8755653 11674204 17511306 23348408 26266959 35022612 46696816 52533918 70045224 105067836 140090448 210135672 420271344