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3402984 = 233132839
BaseRepresentation
bin1100111110110011101000
320101220000110
430332303220
51332343414
6200534320
740632144
oct14766350
96356013
103402984
111a14792
1211813a0
13921c00
14648224
15473459
hex33ece8

3402984 has 48 divisors (see below), whose sum is σ = 9223200. Its totient is φ = 1045824.

The previous prime is 3402979. The next prime is 3402989. The reversal of 3402984 is 4892043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3402979) and next prime (3402989).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3402989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3637 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (192150).

Almost surely, 23402984 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 3402984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611600).

3402984 is an abundant number, since it is smaller than the sum of its proper divisors (5820216).

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

3402984 is a wasteful number, since it uses less digits than its factorization.

3402984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3402984 is about 1844.7178646069. The cubic root of 3402984 is about 150.4134371954.

The spelling of 3402984 in words is "three million, four hundred two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 839 1014 1352 1678 2028 2517 3356 4056 5034 6712 10068 10907 20136 21814 32721 43628 65442 87256 130884 141791 261768 283582 425373 567164 850746 1134328 1701492 3402984