Search a number
-
+
2933064 = 233337367
BaseRepresentation
bin1011001100000101001000
312112000102000
423030011020
51222324224
6142511000
733634131
oct13140510
95460360
102933064
111723722
12b95460
137b9054
14564c88
153ce0c9
hex2cc148

2933064 has 64 divisors (see below), whose sum is σ = 8390400. Its totient is φ = 948672.

The previous prime is 2933023. The next prime is 2933071. The reversal of 2933064 is 4603392.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7809 + ... + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (131100).

22933064 is an apocalyptic number.

2933064 is a gapful number since it is divisible by the number (24) 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 2933064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195200).

2933064 is an abundant number, since it is smaller than the sum of its proper divisors (5457336).

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

2933064 is a wasteful number, since it uses less digits than its factorization.

2933064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2933064 is about 1712.6190469570. The cubic root of 2933064 is about 143.1442299188.

The spelling of 2933064 in words is "two million, nine hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 367 444 666 734 888 999 1101 1332 1468 1998 2202 2664 2936 3303 3996 4404 6606 7992 8808 9909 13212 13579 19818 26424 27158 39636 40737 54316 79272 81474 108632 122211 162948 244422 325896 366633 488844 733266 977688 1466532 2933064