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342270752 = 2531834157
BaseRepresentation
bin10100011001101…
…010001100100000
3212212001011012112
4110121222030200
51200110131002
653544014452
711324152625
oct2431521440
9785034175
10342270752
1116622609a
1296761428
1355bab095
143365834c
15200ad852
hex1466a320

342270752 has 48 divisors (see below), whose sum is σ = 704132352. Its totient is φ = 163580160.

The previous prime is 342270749. The next prime is 342270811. The reversal of 342270752 is 257072243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80258 + ... + 84414.

It is an arithmetic number, because the mean of its divisors is an integer number (14669424).

Almost surely, 2342270752 is an apocalyptic number.

342270752 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 342270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352066176).

342270752 is an abundant number, since it is smaller than the sum of its proper divisors (361861600).

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

342270752 is a wasteful number, since it uses less digits than its factorization.

342270752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 342270752 is about 18500.5608563632. The cubic root of 342270752 is about 699.5035609345.

The spelling of 342270752 in words is "three hundred forty-two million, two hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 83 124 166 248 332 496 664 992 1328 2573 2656 4157 5146 8314 10292 16628 20584 33256 41168 66512 82336 128867 133024 257734 345031 515468 690062 1030936 1380124 2061872 2760248 4123744 5520496 10695961 11040992 21391922 42783844 85567688 171135376 342270752