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34148250 = 233535059
BaseRepresentation
bin1000001001000…
…0111110011010
32101020220121000
42002100332122
532220221000
63215525430
7563153403
oct202207632
971226530
1034148250
11183040a4
12b529876
1370c8186
14476c9aa
152ee8000
hex2090f9a

34148250 has 64 divisors (see below), whose sum is σ = 94723200. Its totient is φ = 9104400.

The previous prime is 34148243. The next prime is 34148281. The reversal of 34148250 is 5284143.

It is a super-2 number, since 2×341482502 = 2332205956125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 4221 + ... + 9279.

It is an arithmetic number, because the mean of its divisors is an integer number (1480050).

Almost surely, 234148250 is an apocalyptic number.

34148250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34148250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47361600).

34148250 is an abundant number, since it is smaller than the sum of its proper divisors (60574950).

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

34148250 is a wasteful number, since it uses less digits than its factorization.

34148250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 34148250 is about 5843.6504002207. The cubic root of 34148250 is about 324.4313527675.

It can be divided in two parts, 3414 and 8250, that added together give a square (11664 = 1082).

The spelling of 34148250 in words is "thirty-four million, one hundred forty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 1125 1350 2250 3375 5059 6750 10118 15177 25295 30354 45531 50590 75885 91062 126475 136593 151770 227655 252950 273186 379425 455310 632375 682965 758850 1138275 1264750 1365930 1897125 2276550 3414825 3794250 5691375 6829650 11382750 17074125 34148250