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2939328 = 26387
BaseRepresentation
bin1011001101100111000000
312112100000000
423031213000
51223024303
6143000000
733661320
oct13154700
95470000
102939328
1117283a7
12b99000
137bbb62
14567280
153d0da3
hex2cd9c0

2939328 has 126 divisors (see below), whose sum is σ = 9998456. Its totient is φ = 839808.

The previous prime is 2939297. The next prime is 2939347. The reversal of 2939328 is 8239392.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (23328) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2939292 and 2939301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419901 + ... + 419907.

22939328 is an apocalyptic number.

2939328 is a gapful number since it is divisible by the number (28) 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 2939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999228).

2939328 is an abundant number, since it is smaller than the sum of its proper divisors (7059128).

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

2939328 is an frugal number, since it uses more digits than its factorization.

2939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 12 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2939328 is about 1714.4468495699. The cubic root of 2939328 is about 143.2460594843.

The spelling of 2939328 in words is "two million, nine hundred thirty-nine thousand, three hundred twenty-eight".