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3352472320 = 2853771997
BaseRepresentation
bin1100011111010010…
…1010101100000000
322122122021020110111
43013310222230000
523331213103240
61312355041104
7146035354531
oct30764525400
98578236414
103352472320
11147042408a
127968a0194
13415724b42
1423b358688
151494ba1ea
hexc7d2ab00

3352472320 has 144 divisors (see below), whose sum is σ = 8371798848. Its totient is φ = 1285079040.

The previous prime is 3352472281. The next prime is 3352472329. The reversal of 3352472320 is 232742533.

It is a happy number.

It is a super-2 number, since 2×33524723202 = 22478141312732364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3352472329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3362062 + ... + 3363058.

It is an arithmetic number, because the mean of its divisors is an integer number (58137492).

Almost surely, 23352472320 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 3352472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185899424).

3352472320 is an abundant number, since it is smaller than the sum of its proper divisors (5019326528).

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

3352472320 is an equidigital number, since it uses as much as digits as its factorization.

3352472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 31.

The square root of 3352472320 is about 57900.5381667563. The cubic root of 3352472320 is about 1496.6551126224.

The spelling of 3352472320 in words is "three billion, three hundred fifty-two million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 71 74 80 128 142 148 160 185 256 284 296 320 355 370 568 592 640 710 740 997 1136 1184 1280 1420 1480 1994 2272 2368 2627 2840 2960 3988 4544 4736 4985 5254 5680 5920 7976 9088 9472 9970 10508 11360 11840 13135 15952 18176 19940 21016 22720 23680 26270 31904 36889 39880 42032 45440 47360 52540 63808 70787 73778 79760 84064 90880 105080 127616 141574 147556 159520 168128 184445 210160 255232 283148 295112 319040 336256 353935 368890 420320 566296 590224 638080 672512 707870 737780 840640 1132592 1180448 1276160 1415740 1475560 1681280 2265184 2360896 2619119 2831480 2951120 3362560 4530368 4721792 5238238 5662960 5902240 9060736 9443584 10476476 11325920 11804480 13095595 18121472 20952952 22651840 23608960 26191190 41905904 45303680 47217920 52382380 83811808 90607360 104764760 167623616 209529520 335247232 419059040 670494464 838118080 1676236160 3352472320