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2930844 = 2237233741
BaseRepresentation
bin1011001011100010011100
312111220100210
423023202130
51222241334
6142452420
733624510
oct13134234
95456323
102930844
111721a94
12b94110
137b8037
14564140
153cd5e9
hex2cb89c

2930844 has 96 divisors (see below), whose sum is σ = 8580096. Its totient is φ = 760320.

The previous prime is 2930843. The next prime is 2930849. The reversal of 2930844 is 4480392.

It is a happy number.

2930844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930843) 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 31 ways as a sum of consecutive naturals, for example, 71464 + ... + 71504.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

22930844 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 2930844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048).

2930844 is an abundant number, since it is smaller than the sum of its proper divisors (5649252).

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

2930844 is a wasteful number, since it uses less digits than its factorization.

2930844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2930844 is about 1711.9707941434. The cubic root of 2930844 is about 143.1081061021.

The spelling of 2930844 in words is "two million, nine hundred thirty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 37 41 42 46 69 74 82 84 92 111 123 138 148 161 164 222 246 259 276 287 322 444 483 492 518 574 644 777 851 861 943 966 1036 1148 1517 1554 1702 1722 1886 1932 2553 2829 3034 3108 3404 3444 3772 4551 5106 5658 5957 6068 6601 9102 10212 10619 11316 11914 13202 17871 18204 19803 21238 23828 26404 31857 34891 35742 39606 42476 63714 69782 71484 79212 104673 127428 139564 209346 244237 418692 488474 732711 976948 1465422 2930844