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2353303040 = 29511193433
BaseRepresentation
bin1000110001000100…
…1000111000000000
320002000011011212212
42030101020320000
514304421144130
61025303241252
7112213513544
oct21421107000
96060134785
102353303040
11aa8418450
12558149228
132b6718b0a
14184785a24
15db8eee95
hex8c448e00

2353303040 has 160 divisors (see below), whose sum is σ = 6201540576. Its totient is φ = 849346560.

The previous prime is 2353303037. The next prime is 2353303061. The reversal of 2353303040 is 403033532.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 2353302997 and 2353303015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5434664 + ... + 5435096.

Almost surely, 22353303040 is an apocalyptic number.

2353303040 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 2353303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100770288).

2353303040 is an abundant number, since it is smaller than the sum of its proper divisors (3848237536).

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

2353303040 is a wasteful number, since it uses less digits than its factorization.

2353303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 23.

The square root of 2353303040 is about 48510.8548677510. The cubic root of 2353303040 is about 1330.1254974197.

Adding to 2353303040 its reverse (403033532), we get a palindrome (2756336572).

The spelling of 2353303040 in words is "two billion, three hundred fifty-three million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 193 220 256 320 352 386 433 440 512 640 704 772 866 880 965 1280 1408 1544 1732 1760 1930 2123 2165 2560 2816 3088 3464 3520 3860 4246 4330 4763 5632 6176 6928 7040 7720 8492 8660 9526 10615 12352 13856 14080 15440 16984 17320 19052 21230 23815 24704 27712 28160 30880 33968 34640 38104 42460 47630 49408 55424 61760 67936 69280 76208 83569 84920 95260 98816 110848 123520 135872 138560 152416 167138 169840 190520 221696 247040 271744 277120 304832 334276 339680 381040 417845 494080 543488 554240 609664 668552 679360 762080 835690 919259 1086976 1108480 1219328 1337104 1358720 1524160 1671380 1838518 2438656 2674208 2717440 3048320 3342760 3677036 4596295 5348416 5434880 6096640 6685520 7354072 9192590 10696832 12193280 13371040 14708144 18385180 21393664 26742080 29416288 36770360 42787328 53484160 58832576 73540720 106968320 117665152 147081440 213936640 235330304 294162880 470660608 588325760 1176651520 2353303040