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3102144 = 263107151
BaseRepresentation
bin1011110101010111000000
312211121100020
423311113000
51243232034
6150253440
735240103
oct13652700
95747306
103102144
111829761
121057280
13847cb6
145aa73a
15414249
hex2f55c0

3102144 has 56 divisors (see below), whose sum is σ = 8339328. Its totient is φ = 1017600.

The previous prime is 3102131. The next prime is 3102173. The reversal of 3102144 is 4412013.

3102144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20469 + ... + 20619.

Almost surely, 23102144 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 3102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169664).

3102144 is an abundant number, since it is smaller than the sum of its proper divisors (5237184).

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

3102144 is a wasteful number, since it uses less digits than its factorization.

3102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3102144 is about 1761.2904360156. The cubic root of 3102144 is about 145.8435805226.

Adding to 3102144 its reverse (4412013), we get a palindrome (7514157).

The spelling of 3102144 in words is "three million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 151 192 214 302 321 428 453 604 642 856 906 1208 1284 1712 1812 2416 2568 3424 3624 4832 5136 6848 7248 9664 10272 14496 16157 20544 28992 32314 48471 64628 96942 129256 193884 258512 387768 517024 775536 1034048 1551072 3102144