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3041716128 = 253113777849
BaseRepresentation
bin1011010101001100…
…1110011110100000
321211222112012002220
42311103032132200
522212134404003
61221454311040
7135243106023
oct26523163640
97758465086
103041716128
111320a73390
1270a7b8480
1339622c239
1420bd851ba
1512c084353
hexb54ce7a0

3041716128 has 96 divisors (see below), whose sum is σ = 8945899200. Its totient is φ = 896808960.

The previous prime is 3041716081. The next prime is 3041716129. The reversal of 3041716128 is 8216171403.

3041716128 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 (33).

It is not an unprimeable number, because it can be changed into a prime (3041716129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148 + ... + 77996.

It is an arithmetic number, because the mean of its divisors is an integer number (93186450).

Almost surely, 23041716128 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 3041716128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472949600).

3041716128 is an abundant number, since it is smaller than the sum of its proper divisors (5904183072).

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

3041716128 is a wasteful number, since it uses less digits than its factorization.

3041716128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77910 (or 77902 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 3041716128 is about 55151.7554389704. The cubic root of 3041716128 is about 1448.9038291555.

The spelling of 3041716128 in words is "three billion, forty-one million, seven hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072 77849 155698 233547 311396 467094 622792 856339 934188 1245584 1712678 1868376 2491168 2569017 2880413 3425356 3736752 5138034 5760826 6850712 7473504 8641239 10276068 11521652 13701424 17282478 20552136 23043304 27402848 31684543 34564956 41104272 46086608 63369086 69129912 82208544 92173216 95053629 126738172 138259824 190107258 253476344 276519648 380214516 506952688 760429032 1013905376 1520858064 3041716128