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3107280 = 2435112107
BaseRepresentation
bin1011110110100111010000
312211212101110
423312213100
51243413110
6150333320
735261061
oct13664720
95755343
103107280
111832600
12105a240
1384a437
145ac568
15415a20
hex2f69d0

3107280 has 120 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 746240.

The previous prime is 3107249. The next prime is 3107303. The reversal of 3107280 is 827013.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28987 + ... + 29093.

Almost surely, 23107280 is an apocalyptic number.

3107280 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 3107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

3107280 is an abundant number, since it is smaller than the sum of its proper divisors (7579536).

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

3107280 is a wasteful number, since it uses less digits than its factorization.

3107280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3107280 is about 1762.7478549129. The cubic root of 3107280 is about 145.9240237714.

The spelling of 3107280 in words is "three million, one hundred seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 107 110 120 121 132 165 176 214 220 240 242 264 321 330 363 428 440 484 528 535 605 642 660 726 856 880 968 1070 1177 1210 1284 1320 1452 1605 1712 1815 1936 2140 2354 2420 2568 2640 2904 3210 3531 3630 4280 4708 4840 5136 5808 5885 6420 7062 7260 8560 9416 9680 11770 12840 12947 14124 14520 17655 18832 23540 25680 25894 28248 29040 35310 38841 47080 51788 56496 64735 70620 77682 94160 103576 129470 141240 155364 194205 207152 258940 282480 310728 388410 517880 621456 776820 1035760 1553640 3107280