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627684330 = 235713435347
BaseRepresentation
bin100101011010011…
…011001111101010
31121202002200000210
4211122123033222
52241141344310
6142141241550
721361141320
oct4532331752
91552080023
10627684330
112a2347589
121562632b6
13a006c860
145d511d10
153a18a820
hex2569b3ea

627684330 has 128 divisors (see below), whose sum is σ = 1897555968. Its totient is φ = 129330432.

The previous prime is 627684307. The next prime is 627684347. The reversal of 627684330 is 33486726.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114717 + ... + 120063.

It is an arithmetic number, because the mean of its divisors is an integer number (14824656).

Almost surely, 2627684330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627684330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948777984).

627684330 is an abundant number, since it is smaller than the sum of its proper divisors (1269871638).

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

627684330 is a wasteful number, since it uses less digits than its factorization.

627684330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420.

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 627684330 is about 25053.6290784389. The cubic root of 627684330 is about 856.2102623859.

The spelling of 627684330 in words is "six hundred twenty-seven million, six hundred eighty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 43 65 70 78 86 91 105 129 130 182 195 210 215 258 273 301 390 430 455 546 559 602 645 903 910 1118 1290 1365 1505 1677 1806 2730 2795 3010 3354 3913 4515 5347 5590 7826 8385 9030 10694 11739 16041 16770 19565 23478 26735 32082 37429 39130 53470 58695 69511 74858 80205 112287 117390 139022 160410 187145 208533 224574 229921 347555 374290 417066 459842 486577 561435 689763 695110 973154 1042665 1122870 1149605 1379526 1459731 1609447 2085330 2299210 2432885 2919462 2988973 3218894 3448815 4828341 4865770 5977946 6897630 7298655 8047235 8966919 9656682 14597310 14944865 16094470 17933838 20922811 24141705 29889730 41845622 44834595 48283410 62768433 89669190 104614055 125536866 209228110 313842165 627684330