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2940948 = 223429313
BaseRepresentation
bin1011001110000000010100
312112102020000
423032000110
51223102243
6143011300
733666123
oct13160024
95472200
102940948
11172963a
12b99b30
137bc80a
14567aba
153d15d3
hex2ce014

2940948 has 60 divisors (see below), whose sum is σ = 7978740. Its totient is φ = 943488.

The previous prime is 2940947. The next prime is 2940989. The reversal of 2940948 is 8490492.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 544644 + 2396304 = 738^2 + 1548^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940947) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9240 + ... + 9552.

It is an arithmetic number, because the mean of its divisors is an integer number (132979).

22940948 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 2940948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989370).

2940948 is an abundant number, since it is smaller than the sum of its proper divisors (5037792).

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

2940948 is a wasteful number, since it uses less digits than its factorization.

2940948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2940948 is about 1714.9192400810. The cubic root of 2940948 is about 143.2723711669.

The spelling of 2940948 in words is "two million, nine hundred forty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 313 324 348 522 626 783 939 1044 1252 1566 1878 2349 2817 3132 3756 4698 5634 8451 9077 9396 11268 16902 18154 25353 27231 33804 36308 50706 54462 81693 101412 108924 163386 245079 326772 490158 735237 980316 1470474 2940948