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424029978 = 23423317359
BaseRepresentation
bin11001010001100…
…010111100011010
31002112212221210000
4121101202330122
51332022424403
6110024233430
713336124001
oct3121427432
91075787700
10424029978
111a8398aa9
12ba00b876
1369b06118
144045bc38
152735d7a3
hex19462f1a

424029978 has 80 divisors (see below), whose sum is σ = 997349760. Its totient is φ = 134396064.

The previous prime is 424029919. The next prime is 424029989. The reversal of 424029978 is 879920424.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1180963 + ... + 1181321.

It is an arithmetic number, because the mean of its divisors is an integer number (12466872).

Almost surely, 2424029978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424029978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498674880).

424029978 is an abundant number, since it is smaller than the sum of its proper divisors (573319782).

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

424029978 is a wasteful number, since it uses less digits than its factorization.

424029978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 424029978 is about 20591.9881992973. The cubic root of 424029978 is about 751.2748557625.

The spelling of 424029978 in words is "four hundred twenty-four million, twenty-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 317 359 414 621 634 718 951 1077 1242 1863 1902 2154 2853 3231 3726 5706 6462 7291 8257 8559 9693 14582 16514 17118 19386 21873 24771 25677 29079 43746 49542 51354 58158 65619 74313 113803 131238 148626 196857 222939 227606 341409 393714 445878 590571 668817 682818 1024227 1181142 1337634 2048454 2617469 3072681 5234938 6145362 7852407 9218043 15704814 18436086 23557221 47114442 70671663 141343326 212014989 424029978