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3106944 = 27332931
BaseRepresentation
bin1011110110100010000000
312211211221000
423312202000
51243410234
6150332000
735260101
oct13664200
95754830
103106944
111832325
12105a000
1384a239
145ac3a8
15415899
hex2f6880

3106944 has 128 divisors (see below), whose sum is σ = 9792000. Its totient is φ = 967680.

The previous prime is 3106921. The next prime is 3106969. The reversal of 3106944 is 4496013.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100209 + ... + 100239.

It is an arithmetic number, because the mean of its divisors is an integer number (76500).

Almost surely, 23106944 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 3106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

3106944 is an abundant number, since it is smaller than the sum of its proper divisors (6685056).

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

3106944 is a wasteful number, since it uses less digits than its factorization.

3106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3106944 is about 1762.6525465899. The cubic root of 3106944 is about 145.9187638399.

It can be divided in two parts, 31069 and 44, that added together give a palindrome (31113).

The spelling of 3106944 in words is "three million, one hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 31 32 36 48 54 58 62 64 72 87 93 96 108 116 124 128 144 174 186 192 216 232 248 261 279 288 348 372 384 432 464 496 522 558 576 696 744 783 837 864 899 928 992 1044 1116 1152 1392 1488 1566 1674 1728 1798 1856 1984 2088 2232 2697 2784 2976 3132 3348 3456 3596 3712 3968 4176 4464 5394 5568 5952 6264 6696 7192 8091 8352 8928 10788 11136 11904 12528 13392 14384 16182 16704 17856 21576 24273 25056 26784 28768 32364 33408 35712 43152 48546 50112 53568 57536 64728 86304 97092 100224 107136 115072 129456 172608 194184 258912 345216 388368 517824 776736 1035648 1553472 3106944