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3123422540 = 2257192232687
BaseRepresentation
bin1011101000101011…
…1010010101001100
322001200021022020022
42322022322111030
522344044010130
61233533441312
7140254440110
oct27212722514
98050238208
103123422540
1113630aa647
12732040238
133aa139224
14218b73740
151343237e5
hexba2ba54c

3123422540 has 144 divisors (see below), whose sum is σ = 8258568192. Its totient is φ = 970054272.

The previous prime is 3123422507. The next prime is 3123422581. The reversal of 3123422540 is 452243213.

3123422540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161077 + ... + 1163763.

It is an arithmetic number, because the mean of its divisors is an integer number (57351168).

Almost surely, 23123422540 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 3123422540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129284096).

3123422540 is an abundant number, since it is smaller than the sum of its proper divisors (5135145652).

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

3123422540 is a wasteful number, since it uses less digits than its factorization.

3123422540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3123422540 is about 55887.5884253382. The cubic root of 3123422540 is about 1461.7628265809.

Adding to 3123422540 its reverse (452243213), we get a palindrome (3575665753).

The spelling of 3123422540 in words is "three billion, one hundred twenty-three million, four hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 70 76 92 95 115 133 140 161 190 230 266 322 361 380 437 460 532 644 665 722 805 874 1330 1444 1610 1748 1805 2185 2527 2660 2687 3059 3220 3610 4370 5054 5374 6118 7220 8303 8740 10108 10748 12236 12635 13435 15295 16606 18809 25270 26870 30590 33212 37618 41515 50540 51053 53740 58121 61180 61801 75236 83030 94045 102106 116242 123602 166060 188090 204212 232484 247204 255265 290605 309005 357371 376180 432607 510530 581210 618010 714742 865214 970007 1021060 1162420 1174219 1236020 1429484 1730428 1786855 1940014 2163035 2348438 3573710 3880028 4326070 4696876 4850035 5871095 6790049 7147420 8219533 8652140 9700070 11742190 13580098 16439066 19400140 22310161 23484380 27160196 32878132 33950245 41097665 44620322 67900490 82195330 89240644 111550805 135800980 156171127 164390660 223101610 312342254 446203220 624684508 780855635 1561711270 3123422540