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421707384 = 23347312999
BaseRepresentation
bin11001001000101…
…011111001111000
31002101111221210000
4121020223321320
51330424114014
6105502353000
713310311410
oct3110537170
91071457700
10421707384
111a7051aaa
12b928b760
13694a1bc7
1440015640
1527050509
hex1922be78

421707384 has 160 divisors (see below), whose sum is σ = 1393920000. Its totient is φ = 116562240.

The previous prime is 421707383. The next prime is 421707401. The reversal of 421707384 is 483707124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421707383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139117 + ... + 142115.

It is an arithmetic number, because the mean of its divisors is an integer number (8712000).

Almost surely, 2421707384 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 421707384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696960000).

421707384 is an abundant number, since it is smaller than the sum of its proper divisors (972212616).

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

421707384 is a wasteful number, since it uses less digits than its factorization.

421707384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 421707384 is about 20535.5151871094. The cubic root of 421707384 is about 749.9006588424.

The spelling of 421707384 in words is "four hundred twenty-one million, seven hundred seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 1116 1134 1302 1512 1674 1736 1953 2232 2268 2511 2604 2999 3348 3906 4536 5022 5208 5859 5998 6696 7812 8997 10044 11718 11996 15624 17577 17994 20088 20993 23436 23992 26991 35154 35988 41986 46872 53982 62979 70308 71976 80973 83972 92969 107964 125958 140616 161946 167944 185938 188937 215928 242919 251916 278907 323892 371876 377874 485838 503832 557814 566811 647784 650783 743752 755748 836721 971676 1115628 1133622 1301566 1511496 1673442 1700433 1943352 1952349 2231256 2267244 2510163 2603132 3346884 3400866 3904698 4534488 5020326 5206264 5857047 6693768 6801732 7530489 7809396 10040652 11714094 13603464 15060978 15618792 17571141 20081304 23428188 30121956 35142282 46856376 52713423 60243912 70284564 105426846 140569128 210853692 421707384