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3134462280 = 23351011072417
BaseRepresentation
bin1011101011010100…
…0001100101001000
322002110001011220120
42322311001211020
522404410243110
61235010223240
7140450326665
oct27265014510
98073034816
103134462280
11136935a9a4
12735884b20
133ac503111
1421a408a6c
151352a4870
hexbad41948

3134462280 has 128 divisors (see below), whose sum is σ = 9589207680. Its totient is φ = 819507200.

The previous prime is 3134462269. The next prime is 3134462291. The reversal of 3134462280 is 822644313.

It is an interprime number because it is at equal distance from previous prime (3134462269) and next prime (3134462291).

It is a super-3 number, since 3×31344622803 (a number of 29 digits) contains 333 as substring.

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, 1295632 + ... + 1298048.

It is an arithmetic number, because the mean of its divisors is an integer number (74915685).

Almost surely, 23134462280 is an apocalyptic number.

3134462280 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 3134462280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794603840).

3134462280 is an abundant number, since it is smaller than the sum of its proper divisors (6454745400).

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

3134462280 is a wasteful number, since it uses less digits than its factorization.

3134462280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3134462280 is about 55986.2686736668. The cubic root of 3134462280 is about 1463.4830022257.

The spelling of 3134462280 in words is "three billion, one hundred thirty-four million, four hundred sixty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 107 120 202 214 303 321 404 428 505 535 606 642 808 856 1010 1070 1212 1284 1515 1605 2020 2140 2417 2424 2568 3030 3210 4040 4280 4834 6060 6420 7251 9668 10807 12085 12120 12840 14502 19336 21614 24170 29004 32421 36255 43228 48340 54035 58008 64842 72510 86456 96680 108070 129684 145020 162105 216140 244117 258619 259368 290040 324210 432280 488234 517238 648420 732351 775857 976468 1034476 1220585 1293095 1296840 1464702 1551714 1952936 2068952 2441170 2586190 2929404 3103428 3661755 3879285 4882340 5172380 5858808 6206856 7323510 7758570 9764680 10344760 14647020 15517140 26120519 29294040 31034280 52241038 78361557 104482076 130602595 156723114 208964152 261205190 313446228 391807785 522410380 626892456 783615570 1044820760 1567231140 3134462280