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30233940 = 223511192411
BaseRepresentation
bin111001101010…
…1010101010100
32002220001011120
41303111111110
530214441230
63000003540
7514661412
oct163252524
962801146
1030233940
1116080230
12a1605b0
136357609
1440302b2
1529c3310
hex1cd5554

30233940 has 96 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 6940800.

The previous prime is 30233893. The next prime is 30233947. The reversal of 30233940 is 4933203.

It is a super-2 number, since 2×302339402 = 1828182255847200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30233940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30233947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11335 + ... + 13745.

It is an arithmetic number, because the mean of its divisors is an integer number (1013040).

Almost surely, 230233940 is an apocalyptic number.

30233940 is a gapful number since it is divisible by the number (30) 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 30233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920).

30233940 is an abundant number, since it is smaller than the sum of its proper divisors (67017900).

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

30233940 is a wasteful number, since it uses less digits than its factorization.

30233940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 30233940 is about 5498.5398061667. The cubic root of 30233940 is about 311.5288335341.

The spelling of 30233940 in words is "thirty million, two hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2411 2508 3135 4180 4822 6270 7233 9644 12055 12540 14466 24110 26521 28932 36165 45809 48220 53042 72330 79563 91618 106084 132605 137427 144660 159126 183236 229045 265210 274854 318252 397815 458090 503899 530420 549708 687135 795630 916180 1007798 1374270 1511697 1591260 2015596 2519495 2748540 3023394 5038990 6046788 7558485 10077980 15116970 30233940