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3353053000 = 235311319833
BaseRepresentation
bin1100011111011011…
…1000011101001000
322122200100202000011
43013312320131020
523331340144000
61312415321304
7146043323503
oct30766703510
98580322004
103353053000
111470790390
12796b20234
1341589923b
1423b46a13a
151495822ba
hexc7db8748

3353053000 has 128 divisors (see below), whose sum is σ = 8836439040. Its totient is φ = 1179840000.

The previous prime is 3353052979. The next prime is 3353053001. The reversal of 3353053000 is 3503533.

It is a happy number.

It is a super-2 number, since 2×33530530002 = 22485928841618000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3353053001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336084 + ... + 345916.

It is an arithmetic number, because the mean of its divisors is an integer number (69034680).

Almost surely, 23353053000 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 3353053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418219520).

3353053000 is an abundant number, since it is smaller than the sum of its proper divisors (5483386040).

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

3353053000 is a wasteful number, since it uses less digits than its factorization.

3353053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 22.

The square root of 3353053000 is about 57905.5524108008. The cubic root of 3353053000 is about 1496.7415192536.

Adding to 3353053000 its reverse (3503533), we get a palindrome (3356556533).

The spelling of 3353053000 in words is "three billion, three hundred fifty-three million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6820 7750 8525 9833 11000 13640 15500 17050 19666 31000 34100 39332 42625 49165 68200 78664 85250 98330 108163 170500 196660 216326 245825 304823 341000 393320 432652 491650 540815 609646 865304 983300 1081630 1219292 1229125 1524115 1966600 2163260 2438584 2458250 2704075 3048230 3353053 4326520 4916500 5408150 6096460 6706106 7620575 9833000 10816300 12192920 13412212 13520375 15241150 16765265 21632600 26824424 27040750 30482300 33530530 38102875 54081500 60964600 67061060 76205750 83826325 108163000 134122120 152411500 167652650 304823000 335305300 419131625 670610600 838263250 1676526500 3353053000