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3425312 = 251137263
BaseRepresentation
bin1101000100010000100000
320110000122102
431010100200
51334102222
6201225532
741054222
oct15042040
96400572
103425312
111a2a540
1211922a8
1392c117
14652412
15479d92
hex344420

3425312 has 48 divisors (see below), whose sum is σ = 7584192. Its totient is φ = 1509120.

The previous prime is 3425297. The next prime is 3425341. The reversal of 3425312 is 2135243.

It is a happy number.

It is a d-powerful number, because it can be written as 312 + 49 + 23 + 55 + 312 + 1 + 221 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12893 + ... + 13155.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

Almost surely, 23425312 is an apocalyptic number.

3425312 is a gapful number since it is divisible by the number (32) 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 3425312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096).

3425312 is an abundant number, since it is smaller than the sum of its proper divisors (4158880).

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

3425312 is a wasteful number, since it uses less digits than its factorization.

3425312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 3425312 is about 1850.7598439560. The cubic root of 3425312 is about 150.7416895624.

The spelling of 3425312 in words is "three million, four hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 263 296 352 407 526 592 814 1052 1184 1628 2104 2893 3256 4208 5786 6512 8416 9731 11572 13024 19462 23144 38924 46288 77848 92576 107041 155696 214082 311392 428164 856328 1712656 3425312