Search a number
-
+
30350240 = 2552931211
BaseRepresentation
bin111001111000…
…1101110100000
32010002221200222
41303301232200
530232201430
63002302212
7515654444
oct163615640
963087628
1030350240
111614a648
12a1b7968
13639852b
144060824
1529e79e5
hex1cf1ba0

30350240 has 96 divisors (see below), whose sum is σ = 76930560. Its totient is φ = 11289600.

The previous prime is 30350231. The next prime is 30350251. The reversal of 30350240 is 4205303.

It is a super-3 number, since 3×303502403 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143735 + ... + 143945.

It is an arithmetic number, because the mean of its divisors is an integer number (801360).

Almost surely, 230350240 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 30350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38465280).

30350240 is an abundant number, since it is smaller than the sum of its proper divisors (46580320).

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

30350240 is a wasteful number, since it uses less digits than its factorization.

30350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 30350240 is about 5509.1051905005. The cubic root of 30350240 is about 311.9277720160.

Adding to 30350240 its reverse (4205303), we get a palindrome (34555543).

The spelling of 30350240 in words is "thirty million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 80 116 124 145 155 160 211 232 248 290 310 422 464 496 580 620 844 899 928 992 1055 1160 1240 1688 1798 2110 2320 2480 3376 3596 4220 4495 4640 4960 6119 6541 6752 7192 8440 8990 12238 13082 14384 16880 17980 24476 26164 28768 30595 32705 33760 35960 48952 52328 61190 65410 71920 97904 104656 122380 130820 143840 189689 195808 209312 244760 261640 379378 489520 523280 758756 948445 979040 1046560 1517512 1896890 3035024 3793780 6070048 7587560 15175120 30350240