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2004372 = 223367277
BaseRepresentation
bin111101001010110010100
310202211111000
413221112110
51003114442
6110543300
723015436
oct7512624
93684430
102004372
111149a07
12807b30
13552426
143a2656
15298d4c
hex1e9594

2004372 has 48 divisors (see below), whose sum is σ = 5293120. Its totient is φ = 655776.

The previous prime is 2004349. The next prime is 2004377. The reversal of 2004372 is 2734002.

It is a happy number.

It is a super-2 number, since 2×20043722 = 8035014228768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004377) 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 15 ways as a sum of consecutive naturals, for example, 7098 + ... + 7374.

22004372 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 2004372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646560).

2004372 is an abundant number, since it is smaller than the sum of its proper divisors (3288748).

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

2004372 is a wasteful number, since it uses less digits than its factorization.

2004372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2004372 is about 1415.7584539744. The cubic root of 2004372 is about 126.0838444216.

Adding to 2004372 its reverse (2734002), we get a palindrome (4738374).

The spelling of 2004372 in words is "two million, four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 277 402 554 603 804 831 1108 1206 1662 1809 2412 2493 3324 3618 4986 7236 7479 9972 14958 18559 29916 37118 55677 74236 111354 167031 222708 334062 501093 668124 1002186 2004372