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2933940 = 2235107457
BaseRepresentation
bin1011001100010010110100
312112001121110
423030102310
51222341230
6142515020
733636522
oct13142264
95461543
102933940
111724349
12b95a70
137b9579
14565312
153ce4b0
hex2cc4b4

2933940 has 48 divisors (see below), whose sum is σ = 8309952. Its totient is φ = 773376.

The previous prime is 2933927. The next prime is 2933947. The reversal of 2933940 is 493392.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2933898 and 2933907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2933947) 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, 6192 + ... + 6648.

It is an arithmetic number, because the mean of its divisors is an integer number (173124).

22933940 is an apocalyptic number.

2933940 is a gapful number since it is divisible by the number (20) 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 2933940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154976).

2933940 is an abundant number, since it is smaller than the sum of its proper divisors (5376012).

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

2933940 is a wasteful number, since it uses less digits than its factorization.

2933940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 2933940 is about 1712.8747765088. The cubic root of 2933940 is about 143.1584791662.

The spelling of 2933940 in words is "two million, nine hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 457 535 642 914 1070 1284 1371 1605 1828 2140 2285 2742 3210 4570 5484 6420 6855 9140 13710 27420 48899 97798 146697 195596 244495 293394 488990 586788 733485 977980 1466970 2933940