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2923024 = 241322347
BaseRepresentation
bin1011001001101000010000
312111111122011
423021220100
51222014044
6142352304
733562636
oct13115020
95444564
102923024
111717125
12b8b694
137b4600
14561356
153cb134
hex2c9a10

2923024 has 60 divisors (see below), whose sum is σ = 6535296. Its totient is φ = 1262976.

The previous prime is 2923007. The next prime is 2923033. The reversal of 2923024 is 4203292.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2922986 and 2923004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62169 + ... + 62215.

22923024 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 2923024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267648).

2923024 is an abundant number, since it is smaller than the sum of its proper divisors (3612272).

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

2923024 is a wasteful number, since it uses less digits than its factorization.

2923024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2923024 is about 1709.6853511685. The cubic root of 2923024 is about 142.9807136524.

It can be divided in two parts, 29230 and 24, that multiplied together give a triangular number (701520 = T1184).

The spelling of 2923024 in words is "two million, nine hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 47 52 92 94 104 169 184 188 208 299 338 368 376 598 611 676 752 1081 1196 1222 1352 2162 2392 2444 2704 3887 4324 4784 4888 7774 7943 8648 9776 14053 15548 15886 17296 28106 31096 31772 56212 62192 63544 112424 127088 182689 224848 365378 730756 1461512 2923024