Search a number
-
+
30393440 = 2557112467
BaseRepresentation
bin111001111110…
…0010001100000
32010012010221222
41303330101200
530240042230
63003234212
7516224420
oct163742140
963163858
1030393440
111617a050
12a218968
1363b20ac
144072480
152a056e5
hex1cfc460

30393440 has 96 divisors (see below), whose sum is σ = 89558784. Its totient is φ = 9469440.

The previous prime is 30393427. The next prime is 30393449. The reversal of 30393440 is 4439303.

It is a super-2 number, since 2×303934402 = 1847522390067200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30393449) 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, 11087 + ... + 13553.

It is an arithmetic number, because the mean of its divisors is an integer number (932904).

Almost surely, 230393440 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 30393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44779392).

30393440 is an abundant number, since it is smaller than the sum of its proper divisors (59165344).

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

30393440 is a wasteful number, since it uses less digits than its factorization.

30393440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 30393440 is about 5513.0245782148. The cubic root of 30393440 is about 312.0756993614.

The spelling of 30393440 in words is "thirty million, three hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 2467 3080 4934 6160 9868 12320 12335 17269 19736 24670 27137 34538 39472 49340 54274 69076 78944 86345 98680 108548 135685 138152 172690 189959 197360 217096 271370 276304 345380 379918 394720 434192 542740 552608 690760 759836 868384 949795 1085480 1381520 1519672 1899590 2170960 2763040 3039344 3799180 4341920 6078688 7598360 15196720 30393440