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40429344 = 2531512789
BaseRepresentation
bin1001101000111…
…0011100100000
32211002000122010
42122032130200
540322214334
64002312520
71000433544
oct232163440
984060563
1040429344
112090418a
1211658740
1384b70b7
145525a24
1538390e9
hex268e720

40429344 has 48 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 13382400.

The previous prime is 40429339. The next prime is 40429357. The reversal of 40429344 is 44392404.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 13102 + ... + 15890.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 240429344 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 40429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

40429344 is an abundant number, since it is smaller than the sum of its proper divisors (66438816).

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

40429344 is a wasteful number, since it uses less digits than its factorization.

40429344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 40429344 is about 6358.4073477562. The cubic root of 40429344 is about 343.2144505193.

The spelling of 40429344 in words is "forty million, four hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 2789 3624 4832 5578 7248 8367 11156 14496 16734 22312 33468 44624 66936 89248 133872 267744 421139 842278 1263417 1684556 2526834 3369112 5053668 6738224 10107336 13476448 20214672 40429344