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2945408088 = 233737736491
BaseRepresentation
bin1010111110001111…
…0101110001011000
321121021022020022110
42233203311301120
522013011024323
61204134152320
7132663361410
oct25743656130
97537266273
102945408088
111281673767
126a24b26a0
1337c2ac02c
141dd275640
151238ad793
hexaf8f5c58

2945408088 has 128 divisors (see below), whose sum is σ = 8762641920. Its totient is φ = 807459840.

The previous prime is 2945408071. The next prime is 2945408107. The reversal of 2945408088 is 8808045492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450523 + ... + 457013.

It is an arithmetic number, because the mean of its divisors is an integer number (68458140).

Almost surely, 22945408088 is an apocalyptic number.

2945408088 is a gapful number since it is divisible by the number (28) 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 2945408088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381320960).

2945408088 is an abundant number, since it is smaller than the sum of its proper divisors (5817233832).

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

2945408088 is a wasteful number, since it uses less digits than its factorization.

2945408088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 2945408088 is about 54271.6140169057. The cubic root of 2945408088 is about 1433.4476104788.

The spelling of 2945408088 in words is "two billion, nine hundred forty-five million, four hundred eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 73 74 84 111 146 148 168 219 222 259 292 296 438 444 511 518 584 777 876 888 1022 1036 1533 1554 1752 2044 2072 2701 3066 3108 4088 5402 6132 6216 6491 8103 10804 12264 12982 16206 18907 19473 21608 25964 32412 37814 38946 45437 51928 56721 64824 75628 77892 90874 113442 136311 151256 155784 181748 226884 240167 272622 363496 453768 473843 480334 545244 720501 947686 960668 1090488 1421529 1441002 1681169 1895372 1921336 2843058 2882004 3316901 3362338 3790744 5043507 5686116 5764008 6633802 6724676 9950703 10087014 11372232 13267604 13449352 17532191 19901406 20174028 26535208 35064382 39802812 40348056 52596573 70128764 79605624 105193146 122725337 140257528 210386292 245450674 368176011 420772584 490901348 736352022 981802696 1472704044 2945408088