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43380864 = 273237657
BaseRepresentation
bin1010010101111…
…1000010000000
310000121222100200
42211133002000
542101141424
64145445200
71034505552
oct245370200
9100558320
1043380864
112253a75a
1212640800
138cab667
145a934d2
153c1d8c9
hex295f080

43380864 has 48 divisors (see below), whose sum is σ = 124836270. Its totient is φ = 14459904.

The previous prime is 43380853. The next prime is 43380877. The reversal of 43380864 is 46808334.

It can be written as a sum of positive squares in only one way, i.e., 31270464 + 12110400 = 5592^2 + 3480^2 .

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

It is a super-2 number, since 2×433808642 = 3763798722772992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17677 + ... + 19980.

Almost surely, 243380864 is an apocalyptic number.

It is an amenable number.

43380864 is an abundant number, since it is smaller than the sum of its proper divisors (81455406).

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

43380864 is a wasteful number, since it uses less digits than its factorization.

43380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37677 (or 37662 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 43380864 is about 6586.4151099061. The cubic root of 43380864 is about 351.3711223051.

It can be divided in two parts, 43380 and 864, that added together give a palindrome (44244).

The spelling of 43380864 in words is "forty-three million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 37657 75314 112971 150628 225942 301256 338913 451884 602512 677826 903768 1205024 1355652 1807536 2410048 2711304 3615072 4820096 5422608 7230144 10845216 14460288 21690432 43380864