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424344624 = 243111575119
BaseRepresentation
bin11001010010101…
…111110000110000
31002120110221101120
4121102233300300
51332113011444
6110035102240
713341604224
oct3122576060
91076427346
10424344624
111a8593440
12ba141980
1369bb63c2
1440500784
15273c1b19
hex194afc30

424344624 has 80 divisors (see below), whose sum is σ = 1203732480. Its totient is φ = 127745280.

The previous prime is 424344619. The next prime is 424344631. The reversal of 424344624 is 426443424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80337 + ... + 85455.

It is an arithmetic number, because the mean of its divisors is an integer number (15046656).

Almost surely, 2424344624 is an apocalyptic number.

424344624 is a gapful number since it is divisible by the number (44) 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 424344624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601866240).

424344624 is an abundant number, since it is smaller than the sum of its proper divisors (779387856).

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

424344624 is a wasteful number, since it uses less digits than its factorization.

424344624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5292 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 424344624 is about 20599.6267927358. The cubic root of 424344624 is about 751.4606344383.

The spelling of 424344624 in words is "four hundred twenty-four million, three hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 157 176 264 314 471 528 628 942 1256 1727 1884 2512 3454 3768 5119 5181 6908 7536 10238 10362 13816 15357 20476 20724 27632 30714 40952 41448 56309 61428 81904 82896 112618 122856 168927 225236 245712 337854 450472 675708 803683 900944 1351416 1607366 2411049 2702832 3214732 4822098 6429464 8840513 9644196 12858928 17681026 19288392 26521539 35362052 38576784 53043078 70724104 106086156 141448208 212172312 424344624