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3197108304 = 2432131938849
BaseRepresentation
bin1011111010010000…
…0000000001010000
322020210220221002200
42332210000001100
523021424431204
61245125043200
7142140654315
oct27644000120
98223827080
103197108304
1113a0758875
12752856500
133bc498580
14224874d0c
1513aa2b539
hexbe900050

3197108304 has 120 divisors (see below), whose sum is σ = 9686749800. Its totient is φ = 978518016.

The previous prime is 3197108303. The next prime is 3197108339. The reversal of 3197108304 is 4038017913.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 294053904 + 2903054400 = 17148^2 + 53880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3197108303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356872 + ... + 365720.

It is an arithmetic number, because the mean of its divisors is an integer number (80722915).

Almost surely, 23197108304 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 3197108304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843374900).

3197108304 is an abundant number, since it is smaller than the sum of its proper divisors (6489641496).

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

3197108304 is a wasteful number, since it uses less digits than its factorization.

3197108304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3197108304 is about 56542.9774949993. The cubic root of 3197108304 is about 1473.1685865533.

The spelling of 3197108304 in words is "three billion, one hundred ninety-seven million, one hundred eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 193 208 234 312 386 468 579 624 772 936 1158 1544 1737 1872 2316 2509 3088 3474 4632 5018 6948 7527 8849 9264 10036 13896 15054 17698 20072 22581 26547 27792 30108 35396 40144 45162 53094 60216 70792 79641 90324 106188 115037 120432 141584 159282 180648 212376 230074 318564 345111 361296 424752 460148 637128 690222 920296 1035333 1274256 1380444 1707857 1840592 2070666 2760888 3415714 4141332 5123571 5521776 6831428 8282664 10247142 13662856 15370713 16565328 20494284 22202141 27325712 30741426 40988568 44404282 61482852 66606423 81977136 88808564 122965704 133212846 177617128 199819269 245931408 266425692 355234256 399638538 532851384 799277076 1065702768 1598554152 3197108304