Search a number
-
+
30256968 = 2337199479
BaseRepresentation
bin111001101101…
…0111101001000
32002221012202110
41303122331020
530221210333
63000302320
7515115510
oct163327510
962835673
1030256968
1116096565
12a1719a0
136364c41
144038840
1529ca063
hex1cdaf48

30256968 has 64 divisors (see below), whose sum is σ = 91008000. Its totient is φ = 8188992.

The previous prime is 30256943. The next prime is 30256969. The reversal of 30256968 is 86965203.

It is a super-2 number, since 2×302569682 = 1830968225106048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30256969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548 + ... + 7931.

It is an arithmetic number, because the mean of its divisors is an integer number (1422000).

Almost surely, 230256968 is an apocalyptic number.

30256968 is a gapful number since it is divisible by the number (38) 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 30256968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45504000).

30256968 is an abundant number, since it is smaller than the sum of its proper divisors (60751032).

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

30256968 is a wasteful number, since it uses less digits than its factorization.

30256968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 30256968 is about 5500.6334180710. The cubic root of 30256968 is about 311.6079065383.

The spelling of 30256968 in words is "thirty million, two hundred fifty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 9479 18958 28437 37916 56874 66353 75832 113748 132706 180101 199059 227496 265412 360202 398118 530824 540303 720404 796236 1080606 1260707 1440808 1592472 2161212 2521414 3782121 4322424 5042828 7564242 10085656 15128484 30256968