Search a number
-
+
3142280280 = 233531899491
BaseRepresentation
bin1011101101001011…
…0110010001011000
322002222202101012010
42323102312101120
522413410432110
61235445545520
7140603640666
oct27322662130
98088671163
103142280280
11137280a757
127384152a0
133b100c759
1421b481c36
15135ceb020
hexbb4b6458

3142280280 has 128 divisors (see below), whose sum is σ = 9841305600. Its totient is φ = 801715200.

The previous prime is 3142280243. The next prime is 3142280291. The reversal of 3142280280 is 820822413.

3142280280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326335 + ... + 335825.

It is an arithmetic number, because the mean of its divisors is an integer number (76885200).

Almost surely, 23142280280 is an apocalyptic number.

3142280280 is a gapful number since it is divisible by the number (30) 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 3142280280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920652800).

3142280280 is an abundant number, since it is smaller than the sum of its proper divisors (6699025320).

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

3142280280 is a wasteful number, since it uses less digits than its factorization.

3142280280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9625 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 3142280280 is about 56056.0458826700. The cubic root of 3142280280 is about 1464.6987355529.

The spelling of 3142280280 in words is "three billion, one hundred forty-two million, two hundred eighty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 89 93 120 124 155 178 186 248 267 310 356 372 445 465 534 620 712 744 890 930 1068 1240 1335 1780 1860 2136 2670 2759 3560 3720 5340 5518 8277 9491 10680 11036 13795 16554 18982 22072 27590 28473 33108 37964 41385 47455 55180 56946 66216 75928 82770 94910 110360 113892 142365 165540 189820 227784 284730 294221 331080 379640 569460 588442 844699 882663 1138920 1176884 1471105 1689398 1765326 2353768 2534097 2942210 3378796 3530652 4223495 4413315 5068194 5884420 6757592 7061304 8446990 8826630 10136388 11768840 12670485 16893980 17653260 20272776 25340970 26185669 33787960 35306520 50681940 52371338 78557007 101363880 104742676 130928345 157114014 209485352 261856690 314228028 392785035 523713380 628456056 785570070 1047426760 1571140140 3142280280