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61345344 = 2632831129
BaseRepresentation
bin1110101000000…
…0111001000000
311021102122222210
43222000321000
5111201022334
610030502120
71343266254
oct352007100
9137378883
1061345344
113169a735
1218664940
13c92b428
14820c264
1555bb5e9
hex3a80e40

61345344 has 56 divisors (see below), whose sum is σ = 163027360. Its totient is φ = 20358144.

The previous prime is 61345343. The next prime is 61345351. The reversal of 61345344 is 44354316.

It is not an unprimeable number, because it can be changed into a prime (61345343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53772 + ... + 54900.

Almost surely, 261345344 is an apocalyptic number.

61345344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81513680).

61345344 is an abundant number, since it is smaller than the sum of its proper divisors (101682016).

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

61345344 is a wasteful number, since it uses less digits than its factorization.

61345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1417 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 61345344 is about 7832.3268573266. The cubic root of 61345344 is about 394.3911873140.

The spelling of 61345344 in words is "sixty-one million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1129 1132 1698 2258 2264 3387 3396 4516 4528 6774 6792 9032 9056 13548 13584 18064 18112 27096 27168 36128 54192 54336 72256 108384 216768 319507 639014 958521 1278028 1917042 2556056 3834084 5112112 7668168 10224224 15336336 20448448 30672672 61345344