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3054556332 = 2234101269347
BaseRepresentation
bin1011011000010000…
…1101010010101100
321212212200112120000
42312010031102230
522223431300312
61223033424300
7135460205022
oct26604152254
97785615500
103054556332
111328243423
12712b6b090
13398aa67a9
1420d968712
1512d26dadc
hexb610d4ac

3054556332 has 120 divisors (see below), whose sum is σ = 8117580240. Its totient is φ = 1001462400.

The previous prime is 3054556313. The next prime is 3054556333. The reversal of 3054556332 is 2336554503.

3054556332 is a `hidden beast` number, since 30 + 545 + 56 + 3 + 32 = 666.

It is a super-2 number, since 2×30545563322 = 18660628770722588448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3054556333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8802583 + ... + 8802929.

It is an arithmetic number, because the mean of its divisors is an integer number (67646502).

Almost surely, 23054556332 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 3054556332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058790120).

3054556332 is an abundant number, since it is smaller than the sum of its proper divisors (5063023908).

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

3054556332 is a wasteful number, since it uses less digits than its factorization.

3054556332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 3054556332 is about 55268.0407830782. The cubic root of 3054556332 is about 1450.9397526014.

The spelling of 3054556332 in words is "three billion, fifty-four million, five hundred fifty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 269 303 324 347 404 538 606 694 807 909 1041 1076 1212 1388 1614 1818 2082 2421 2727 3123 3228 3636 4164 4842 5454 6246 7263 8181 9369 9684 10908 12492 14526 16362 18738 21789 27169 28107 29052 32724 35047 37476 43578 54338 56214 70094 81507 87156 93343 105141 108676 112428 140188 163014 186686 210282 244521 280029 315423 326028 373372 420564 489042 560058 630846 733563 840087 946269 978084 1120116 1261692 1467126 1680174 1892538 2200689 2520261 2838807 2934252 3360348 3785076 4401378 5040522 5677614 7560783 8802756 9427643 10081044 11355228 15121566 18855286 28282929 30243132 37710572 56565858 84848787 113131716 169697574 254546361 339395148 509092722 763639083 1018185444 1527278166 3054556332