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3046080 = 263519167
BaseRepresentation
bin1011100111101011000000
312201202102210
423213223000
51234433310
6145142120
734614462
oct13475300
95652383
103046080
1117a0624
12102a940
1382861b
14594132
15402820
hex2e7ac0

3046080 has 112 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 764928.

The previous prime is 3046079. The next prime is 3046081. The reversal of 3046080 is 806403.

3046080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3046079) and next prime (3046081).

It is not an unprimeable number, because it can be changed into a prime (3046081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18157 + ... + 18323.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 23046080 is an apocalyptic number.

3046080 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 3046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

3046080 is an abundant number, since it is smaller than the sum of its proper divisors (7195200).

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

3046080 is a wasteful number, since it uses less digits than its factorization.

3046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3046080 is about 1745.3022660846. The cubic root of 3046080 is about 144.9596399759.

The spelling of 3046080 in words is "three million, forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 167 190 192 228 240 285 304 320 334 380 456 480 501 570 608 668 760 835 912 960 1002 1140 1216 1336 1520 1670 1824 2004 2280 2505 2672 3040 3173 3340 3648 4008 4560 5010 5344 6080 6346 6680 8016 9120 9519 10020 10688 12692 13360 15865 16032 18240 19038 20040 25384 26720 31730 32064 38076 40080 47595 50768 53440 63460 76152 80160 95190 101536 126920 152304 160320 190380 203072 253840 304608 380760 507680 609216 761520 1015360 1523040 3046080