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342250464 = 25319718097
BaseRepresentation
bin10100011001100…
…101001111100000
3212212000010101010
4110121211033200
51200104003324
653543340520
711324036523
oct2431451740
9785003333
10342250464
11166211926
1296751740
1355ba1a8a
1433650bba
15200a7829
hex146653e0

342250464 has 48 divisors (see below), whose sum is σ = 903017808. Its totient is φ = 113498112.

The previous prime is 342250463. The next prime is 342250483. The reversal of 342250464 is 464052243.

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 (342250463) 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 7 ways as a sum of consecutive naturals, for example, 9864 + ... + 27960.

It is an arithmetic number, because the mean of its divisors is an integer number (18812871).

Almost surely, 2342250464 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 342250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451508904).

342250464 is an abundant number, since it is smaller than the sum of its proper divisors (560767344).

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

342250464 is a wasteful number, since it uses less digits than its factorization.

342250464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18307 (or 18299 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 342250464 is about 18500.0125405363. The cubic root of 342250464 is about 699.4897397042.

The spelling of 342250464 in words is "three hundred forty-two million, two hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 18097 18912 36194 54291 72388 108582 144776 217164 289552 434328 579104 868656 1737312 3565109 7130218 10695327 14260436 21390654 28520872 42781308 57041744 85562616 114083488 171125232 342250464