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2341244080 = 245717832963
BaseRepresentation
bin1000101110001100…
…1000110010110000
320001011110112002201
42023203020302300
514243324302310
61024152552544
7112006150330
oct21343106260
96034415081
102341244080
11aa163136a
125540b2754
132b4086036
14182d270c0
15da81be3a
hex8b8c8cb0

2341244080 has 160 divisors (see below), whose sum is σ = 6668573184. Its totient is φ = 746139648.

The previous prime is 2341244071. The next prime is 2341244107. The reversal of 2341244080 is 804421432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788679 + ... + 791641.

Almost surely, 22341244080 is an apocalyptic number.

2341244080 is a gapful number since it is divisible by the number (20) 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 2341244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334286592).

2341244080 is an abundant number, since it is smaller than the sum of its proper divisors (4327329104).

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

2341244080 is a wasteful number, since it uses less digits than its factorization.

2341244080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2341244080 is about 48386.4038754690. The cubic root of 2341244080 is about 1327.8496315689.

The spelling of 2341244080 in words is "two billion, three hundred forty-one million, two hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 83 85 112 119 136 140 166 170 238 272 280 332 340 415 476 560 581 595 664 680 830 952 1162 1190 1328 1360 1411 1660 1904 2324 2380 2822 2905 2963 3320 4648 4760 5644 5810 5926 6640 7055 9296 9520 9877 11288 11620 11852 14110 14815 19754 20741 22576 23240 23704 28220 29630 39508 41482 46480 47408 49385 50371 56440 59260 79016 82964 98770 100742 103705 112880 118520 158032 165928 197540 201484 207410 237040 245929 251855 331856 352597 395080 402968 414820 491858 503710 705194 790160 805936 829640 983716 1007420 1229645 1410388 1659280 1721503 1762985 1967432 2014840 2459290 2820776 3443006 3525970 3934864 4029680 4180793 4918580 5641552 6886012 7051940 8361586 8607515 9837160 13772024 14103880 16723172 17215030 19674320 20903965 27544048 28207760 29265551 33446344 34430060 41807930 58531102 66892688 68860120 83615860 117062204 137720240 146327755 167231720 234124408 292655510 334463440 468248816 585311020 1170622040 2341244080