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3040573824 = 273215591693
BaseRepresentation
bin1011010100111011…
…0111100110000000
321211220101011011100
42311032313212000
522211341330244
61221414014400
7135230310501
oct26516674600
97756334140
103040573824
111320363132
1270a347400
13395c1c312
1420bb68ba8
1512be0ab69
hexb53b7980

3040573824 has 96 divisors (see below), whose sum is σ = 8760351600. Its totient is φ = 1012276224.

The previous prime is 3040573807. The next prime is 3040573859. The reversal of 3040573824 is 4283750403.

It is a happy number.

3040573824 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 573 + 82 + 4 = 666.

3040573824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1795122 + ... + 1796814.

Almost surely, 23040573824 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 3040573824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380175800).

3040573824 is an abundant number, since it is smaller than the sum of its proper divisors (5719777776).

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

3040573824 is a wasteful number, since it uses less digits than its factorization.

3040573824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3040573824 is about 55141.3984588712. The cubic root of 3040573824 is about 1448.7224298182.

The spelling of 3040573824 in words is "three billion, forty million, five hundred seventy-three thousand, eight hundred twenty-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 1559 1693 3118 3386 4677 5079 6236 6772 9354 10158 12472 13544 14031 15237 18708 20316 24944 27088 28062 30474 37416 40632 49888 54176 56124 60948 74832 81264 99776 108352 112248 121896 149664 162528 199552 216704 224496 243792 299328 325056 448992 487584 598656 650112 897984 975168 1795968 1950336 2639387 5278774 7918161 10557548 15836322 21115096 23754483 31672644 42230192 47508966 63345288 84460384 95017932 126690576 168920768 190035864 253381152 337841536 380071728 506762304 760143456 1013524608 1520286912 3040573824