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424315360 = 2557457829
BaseRepresentation
bin11001010010101…
…000100111100000
31002120102110020201
4121102220213200
51332111042420
6110034314544
713341423010
oct3122504740
91076373221
10424315360
111a8573457
12ba128a54
1369ba5ca1
14404d3c40
15273b810a
hex194a89e0

424315360 has 96 divisors (see below), whose sum is σ = 1149543360. Its totient is φ = 144986112.

The previous prime is 424315349. The next prime is 424315361. The reversal of 424315360 is 63513424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424315361) 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, 511426 + ... + 512254.

It is an arithmetic number, because the mean of its divisors is an integer number (11974410).

Almost surely, 2424315360 is an apocalyptic number.

424315360 is a gapful number since it is divisible by the number (40) 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 424315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574771680).

424315360 is an abundant number, since it is smaller than the sum of its proper divisors (725228000).

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

424315360 is a wasteful number, since it uses less digits than its factorization.

424315360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 424315360 is about 20598.9164763587. The cubic root of 424315360 is about 751.4433597608.

Adding to 424315360 its reverse (63513424), we get a palindrome (487828784).

The spelling of 424315360 in words is "four hundred twenty-four million, three hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 457 560 829 914 1120 1658 1828 2285 3199 3316 3656 4145 4570 5803 6398 6632 7312 8290 9140 11606 12796 13264 14624 15995 16580 18280 23212 25592 26528 29015 31990 33160 36560 46424 51184 58030 63980 66320 73120 92848 102368 116060 127960 132640 185696 232120 255920 378853 464240 511840 757706 928480 1515412 1894265 2651971 3030824 3788530 5303942 6061648 7577060 10607884 12123296 13259855 15154120 21215768 26519710 30308240 42431536 53039420 60616480 84863072 106078840 212157680 424315360