Search a number
-
+
30248694 = 2337431861
BaseRepresentation
bin111001101100…
…0111011110110
32002220210102000
41303120323312
530220424234
63000200130
7515052420
oct163307366
962823360
1030248694
1116090323
12a169046
136361248
144035810
1529c7899
hex1cd8ef6

30248694 has 64 divisors (see below), whose sum is σ = 78650880. Its totient is φ = 8436960.

The previous prime is 30248671. The next prime is 30248717. The reversal of 30248694 is 49684203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30248671) and next prime (30248717).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15324 + ... + 17184.

It is an arithmetic number, because the mean of its divisors is an integer number (1228920).

Almost surely, 230248694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30248694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39325440).

30248694 is an abundant number, since it is smaller than the sum of its proper divisors (48402186).

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

30248694 is a wasteful number, since it uses less digits than its factorization.

30248694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30248694 is about 5499.8812714458. The cubic root of 30248694 is about 311.5795000913.

The spelling of 30248694 in words is "thirty million, two hundred forty-eight thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 1861 2322 2709 3722 5418 5583 8127 11166 13027 16254 16749 26054 33498 39081 50247 78162 80023 100494 117243 160046 234486 240069 351729 480138 560161 703458 720207 1120322 1440414 1680483 2160621 3360966 4321242 5041449 10082898 15124347 30248694