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3742984 = 23789751
BaseRepresentation
bin1110010001110100001000
321001011102001
432101310020
51424233414
6212120344
743546330
oct16216410
97034361
103742984
112127183
1213060b4
13a108ab
146d60c0
154de074
hex391d08

3742984 has 32 divisors (see below), whose sum is σ = 8121600. Its totient is φ = 1584000.

The previous prime is 3742961. The next prime is 3742987. The reversal of 3742984 is 4892473.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4609 + ... + 5359.

It is an arithmetic number, because the mean of its divisors is an integer number (253800).

Almost surely, 23742984 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 3742984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060800).

3742984 is an abundant number, since it is smaller than the sum of its proper divisors (4378616).

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

3742984 is a wasteful number, since it uses less digits than its factorization.

3742984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 3742984 is about 1934.6793015898. The cubic root of 3742984 is about 155.2646743951.

The spelling of 3742984 in words is "three million, seven hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 751 1246 1502 2492 3004 4984 5257 6008 10514 21028 42056 66839 133678 267356 467873 534712 935746 1871492 3742984