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3012944 = 2411171953
BaseRepresentation
bin1011011111100101010000
312200001222112
423133211100
51232403234
6144324452
734416044
oct13374520
95601875
103012944
111778740
121013728
1381650c
14586024
153e7ace
hex2df950

3012944 has 80 divisors (see below), whose sum is σ = 7231680. Its totient is φ = 1198080.

The previous prime is 3012941. The next prime is 3012949. The reversal of 3012944 is 4492103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56822 + ... + 56874.

It is an arithmetic number, because the mean of its divisors is an integer number (90396).

Almost surely, 23012944 is an apocalyptic number.

3012944 is a gapful number since it is divisible by the number (34) 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 3012944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615840).

3012944 is an abundant number, since it is smaller than the sum of its proper divisors (4218736).

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

3012944 is a wasteful number, since it uses less digits than its factorization.

3012944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3012944 is about 1735.7833966253. The cubic root of 3012944 is about 144.4320869551.

The spelling of 3012944 in words is "three million, twelve thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 53 68 76 88 106 136 152 176 187 209 212 272 304 323 374 418 424 583 646 748 836 848 901 1007 1166 1292 1496 1672 1802 2014 2332 2584 2992 3344 3553 3604 4028 4664 5168 7106 7208 8056 9328 9911 11077 14212 14416 16112 17119 19822 22154 28424 34238 39644 44308 56848 68476 79288 88616 136952 158576 177232 188309 273904 376618 753236 1506472 3012944