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3107988 = 22321329229
BaseRepresentation
bin1011110110110010010100
312211220100200
423312302110
51243423423
6150340500
735263122
oct13666224
95756320
103107988
111833094
12105a730
1384a860
145ac912
15415d43
hex2f6c94

3107988 has 72 divisors (see below), whose sum is σ = 8790600. Its totient is φ = 919296.

The previous prime is 3107983. The next prime is 3107989. The reversal of 3107988 is 8897013.

It can be divided in two parts, 3107 and 988, that added together give a triangular number (4095 = T90).

It can be written as a sum of positive squares in 4 ways, for example, as 636804 + 2471184 = 798^2 + 1572^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3107981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13458 + ... + 13686.

Almost surely, 23107988 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 3107988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395300).

3107988 is an abundant number, since it is smaller than the sum of its proper divisors (5682612).

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

3107988 is a wasteful number, since it uses less digits than its factorization.

3107988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3107988 is about 1762.9486662975. The cubic root of 3107988 is about 145.9351059572.

The spelling of 3107988 in words is "three million, one hundred seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 229 234 261 348 377 458 468 522 687 754 916 1044 1131 1374 1508 2061 2262 2748 2977 3393 4122 4524 5954 6641 6786 8244 8931 11908 13282 13572 17862 19923 26564 26793 35724 39846 53586 59769 79692 86333 107172 119538 172666 239076 258999 345332 517998 776997 1035996 1553994 3107988