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45434368 = 29721811
BaseRepresentation
bin1010110101010…
…0011000000000
310011111022020101
42231110120000
543112344433
64301452144
71061120500
oct255243000
9104438211
1045434368
1123712571
1213271054
13954a255
146069a00
153ec707d
hex2b54600

45434368 has 60 divisors (see below), whose sum is σ = 105659532. Its totient is φ = 19461120.

The previous prime is 45434341. The next prime is 45434381. The reversal of 45434368 is 86343454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24183 + ... + 25993.

Almost surely, 245434368 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 45434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52829766).

45434368 is an abundant number, since it is smaller than the sum of its proper divisors (60225164).

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

45434368 is an equidigital number, since it uses as much as digits as its factorization.

45434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1820 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 45434368 is about 6740.5020584523. The cubic root of 45434368 is about 356.8301126830.

It can be divided in two parts, 4543 and 4368, that added together give a triangular number (8911 = T133).

The spelling of 45434368 in words is "forty-five million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 1811 3136 3584 3622 6272 7244 12544 12677 14488 25088 25354 28976 50708 57952 88739 101416 115904 177478 202832 231808 354956 405664 463616 709912 811328 927232 1419824 1622656 2839648 3245312 5679296 6490624 11358592 22717184 45434368