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3145880 = 235314359
BaseRepresentation
bin1100000000000010011000
312220211100002
430000002120
51301132010
6151232132
735511443
oct14000230
95824302
103145880
111859601
121078648
13861b8a
145bc65a
154221a5
hex300098

3145880 has 64 divisors (see below), whose sum is σ = 7603200. Its totient is φ = 1169280.

The previous prime is 3145873. The next prime is 3145897. The reversal of 3145880 is 885413.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53291 + ... + 53349.

It is an arithmetic number, because the mean of its divisors is an integer number (118800).

Almost surely, 23145880 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 3145880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801600).

3145880 is an abundant number, since it is smaller than the sum of its proper divisors (4457320).

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

3145880 is a wasteful number, since it uses less digits than its factorization.

3145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 3145880 is about 1773.6628766482. The cubic root of 3145880 is about 146.5257829883.

The spelling of 3145880 in words is "three million, one hundred forty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 43 59 62 86 118 124 155 172 215 236 248 295 310 344 430 472 590 620 860 1180 1240 1333 1720 1829 2360 2537 2666 3658 5074 5332 6665 7316 9145 10148 10664 12685 13330 14632 18290 20296 25370 26660 36580 50740 53320 73160 78647 101480 157294 314588 393235 629176 786470 1572940 3145880