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30157344 = 2532722137
BaseRepresentation
bin111001100001…
…0101000100000
32002202011002200
41303002220200
530210013334
62554213200
7514222200
oct163025040
962664080
1030157344
1116028728
12a124200
13632b7a9
144010400
1529aa799
hex1cc2a20

30157344 has 108 divisors (see below), whose sum is σ = 99808254. Its totient is φ = 8612352.

The previous prime is 30157339. The next prime is 30157349. The reversal of 30157344 is 44375103.

It is an interprime number because it is at equal distance from previous prime (30157339) and next prime (30157349).

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 345744 = 5460^2 + 588^2 .

It is not an unprimeable number, because it can be changed into a prime (30157349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13044 + ... + 15180.

Almost surely, 230157344 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 30157344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49904127).

30157344 is an abundant number, since it is smaller than the sum of its proper divisors (69650910).

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

30157344 is a wasteful number, since it uses less digits than its factorization.

30157344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30157344 is about 5491.5702672369. The cubic root of 30157344 is about 311.2655307487.

The spelling of 30157344 in words is "thirty million, one hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2137 2352 3528 4274 4704 6411 7056 8548 12822 14112 14959 17096 19233 25644 29918 34192 38466 44877 51288 59836 68384 76932 89754 102576 104713 119672 134631 153864 179508 205152 209426 239344 269262 307728 314139 359016 418852 478688 538524 615456 628278 718032 837704 942417 1077048 1256556 1436064 1675408 1884834 2154096 2513112 3350816 3769668 4308192 5026224 7539336 10052448 15078672 30157344