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3744072 = 2332149349
BaseRepresentation
bin1110010010000101001000
321001012220100
432102011020
51424302242
6212125400
743552443
oct16220510
97035810
103744072
112127a82
121306860
13a11237
146d665a
154de54c
hex392148

3744072 has 48 divisors (see below), whose sum is σ = 10237500. Its totient is φ = 1236096.

The previous prime is 3744071. The next prime is 3744089. The reversal of 3744072 is 2704473.

It can be written as a sum of positive squares in 2 ways, for example, as 3709476 + 34596 = 1926^2 + 186^2 .

It is not an unprimeable number, because it can be changed into a prime (3744071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10554 + ... + 10902.

Almost surely, 23744072 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 3744072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118750).

3744072 is an abundant number, since it is smaller than the sum of its proper divisors (6493428).

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

3744072 is a wasteful number, since it uses less digits than its factorization.

3744072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 3744072 is about 1934.9604647124. The cubic root of 3744072 is about 155.2797169032.

The spelling of 3744072 in words is "three million, seven hundred forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 349 447 596 698 894 1047 1192 1341 1396 1788 2094 2682 2792 3141 3576 4188 5364 6282 8376 10728 12564 25128 52001 104002 156003 208004 312006 416008 468009 624012 936018 1248024 1872036 3744072