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3425376 = 253311151
BaseRepresentation
bin1101000100010001100000
320110000201210
431010101200
51334103001
6201230120
741054343
oct15042140
96400653
103425376
111a2a599
121192340
1392c166
1465245a
15479dd6
hex344460

3425376 has 48 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 1104000.

The previous prime is 3425371. The next prime is 3425399. The reversal of 3425376 is 6735243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3425371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2401 + ... + 3551.

It is an arithmetic number, because the mean of its divisors is an integer number (193536).

Almost surely, 23425376 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 3425376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).

3425376 is an abundant number, since it is smaller than the sum of its proper divisors (5864352).

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

3425376 is a wasteful number, since it uses less digits than its factorization.

3425376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1187 counting only the distinct ones).

The product of its digits is 15120, while the sum is 30.

The square root of 3425376 is about 1850.7771340710. Note that the first 3 decimals coincide. The cubic root of 3425376 is about 150.7426283974.

The spelling of 3425376 in words is "three million, four hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1151 1488 2302 2976 3453 4604 6906 9208 13812 18416 27624 35681 36832 55248 71362 107043 110496 142724 214086 285448 428172 570896 856344 1141792 1712688 3425376