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3742380 = 22325171223
BaseRepresentation
bin1110010001101010101100
321001010120200
432101222230
51424224010
6212113500
743544505
oct16215254
97033520
103742380
112126784
121305890
13a10535
146d5bac
154ddcc0
hex391aac

3742380 has 72 divisors (see below), whose sum is σ = 12029472. Its totient is φ = 938496.

The previous prime is 3742379. The next prime is 3742391. The reversal of 3742380 is 832473.

3742380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2449 + ... + 3671.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 23742380 is an apocalyptic number.

3742380 is a gapful number since it is divisible by the number (30) 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 3742380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736).

3742380 is an abundant number, since it is smaller than the sum of its proper divisors (8287092).

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

3742380 is a wasteful number, since it uses less digits than its factorization.

3742380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3742380 is about 1934.5231970695. The cubic root of 3742380 is about 155.2563223327.

The spelling of 3742380 in words is "three million, seven hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1223 1530 2446 3060 3669 4892 6115 7338 11007 12230 14676 18345 20791 22014 24460 36690 41582 44028 55035 62373 73380 83164 103955 110070 124746 187119 207910 220140 249492 311865 374238 415820 623730 748476 935595 1247460 1871190 3742380