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45319344 = 2437294651
BaseRepresentation
bin1010110011100…
…0010010110000
310011021110110020
42230320102300
543100204334
64255203440
71060131240
oct254702260
9104243406
1045319344
1123644104
1213216580
139509aa5
146039b20
153ea2e49
hex2b384b0

45319344 has 80 divisors (see below), whose sum is σ = 138443520. Its totient is φ = 12499200.

The previous prime is 45319321. The next prime is 45319357. The reversal of 45319344 is 44391354.

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 15 ways as a sum of consecutive naturals, for example, 7419 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (1730544).

Almost surely, 245319344 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 45319344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69221760).

45319344 is an abundant number, since it is smaller than the sum of its proper divisors (93124176).

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

45319344 is a wasteful number, since it uses less digits than its factorization.

45319344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4692 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 45319344 is about 6731.9643492817. The cubic root of 45319344 is about 356.5287350117.

The spelling of 45319344 in words is "forty-five million, three hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4651 4872 9302 9744 13953 18604 27906 32557 37208 55812 65114 74416 97671 111624 130228 134879 195342 223248 260456 269758 390684 404637 520912 539516 781368 809274 944153 1079032 1562736 1618548 1888306 2158064 2832459 3237096 3776612 5664918 6474192 7553224 11329836 15106448 22659672 45319344