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3745296 = 243231839
BaseRepresentation
bin1110010010011000010000
321001021120200
432102120100
51424322141
6212135200
743556142
oct16223020
97037520
103745296
112128995
121307500
13a11969
146d6c92
154deab6
hex392610

3745296 has 60 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 1206720.

The previous prime is 3745283. The next prime is 3745303. The reversal of 3745296 is 6925473.

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

It is a d-powerful number, because it can be written as 313 + 7 + 49 + 57 + 217 + 9 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3745296.

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, 4045 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 23745296 is an apocalyptic number.

3745296 is a gapful number since it is divisible by the number (36) 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 3745296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3745296 is an abundant number, since it is smaller than the sum of its proper divisors (7087344).

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

3745296 is a wasteful number, since it uses less digits than its factorization.

3745296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3745296 is about 1935.2767243989. The cubic root of 3745296 is about 155.2966362418.

The spelling of 3745296 in words is "three million, seven hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 839 1116 1488 1678 2232 2517 3356 4464 5034 6712 7551 10068 13424 15102 20136 26009 30204 40272 52018 60408 78027 104036 120816 156054 208072 234081 312108 416144 468162 624216 936324 1248432 1872648 3745296