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40404330 = 232523131149
BaseRepresentation
bin1001101000100…
…0010101101010
32211000202022200
42122020111222
540320414310
64002001030
71000300611
oct232102552
984022280
1040404330
112089740a
1211646176
1384a88b5
14551a878
1538319c0
hex268856a

40404330 has 96 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 10158720.

The previous prime is 40404319. The next prime is 40404361. The reversal of 40404330 is 3340404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271096 + ... + 271244.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 240404330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

40404330 is an abundant number, since it is smaller than the sum of its proper divisors (70792470).

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

40404330 is a wasteful number, since it uses less digits than its factorization.

40404330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40404330 is about 6356.4400414068. The cubic root of 40404330 is about 343.1436526235.

Adding to 40404330 its reverse (3340404), we get a palindrome (43744734).

The spelling of 40404330 in words is "forty million, four hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 131 138 149 207 230 262 298 345 393 414 447 655 690 745 786 894 1035 1179 1310 1341 1490 1965 2070 2235 2358 2682 3013 3427 3930 4470 5895 6026 6705 6854 9039 10281 11790 13410 15065 17135 18078 19519 20562 27117 30130 30843 34270 39038 45195 51405 54234 58557 61686 90390 97595 102810 117114 135585 154215 175671 195190 271170 292785 308430 351342 448937 585570 878355 897874 1346811 1756710 2244685 2693622 4040433 4489370 6734055 8080866 13468110 20202165 40404330