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3743072 = 25532207
BaseRepresentation
bin1110010001110101100000
321001011112022
432101311200
51424234242
6212121012
743546514
oct16216540
97034468
103743072
112127253
121306168
13a10948
146d6144
154de0d2
hex391d60

3743072 has 24 divisors (see below), whose sum is σ = 7511616. Its totient is φ = 1835392.

The previous prime is 3743053. The next prime is 3743081. The reversal of 3743072 is 2703473.

3743072 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 593 + ... + 2799.

It is an arithmetic number, because the mean of its divisors is an integer number (312984).

Almost surely, 23743072 is an apocalyptic number.

3743072 is a gapful number since it is divisible by the number (32) 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 3743072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755808).

3743072 is an abundant number, since it is smaller than the sum of its proper divisors (3768544).

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

3743072 is a wasteful number, since it uses less digits than its factorization.

3743072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 3743072 is about 1934.7020442435. The cubic root of 3743072 is about 155.2658911769.

It can be divided in two parts, 3 and 743072, that multiplied together give a triangular number (2229216 = T2111).

The spelling of 3743072 in words is "three million, seven hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2207 4414 8828 17656 35312 70624 116971 233942 467884 935768 1871536 3743072