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30711240 = 23325721741
BaseRepresentation
bin111010100100…
…1110111001000
32010210021220100
41311021313020
530330224430
63014125400
7522020100
oct165116710
963707810
1030711240
111637689a
12a350860
136493941
144116200
152a69960
hex1d49dc8

30711240 has 144 divisors (see below), whose sum is σ = 116173980. Its totient is φ = 7015680.

The previous prime is 30711229. The next prime is 30711281. The reversal of 30711240 is 4211703.

It can be written as a sum of positive squares in 2 ways, for example, as 24980004 + 5731236 = 4998^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 16770 + ... + 18510.

Almost surely, 230711240 is an apocalyptic number.

30711240 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 30711240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58086990).

30711240 is an abundant number, since it is smaller than the sum of its proper divisors (85462740).

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

30711240 is a wasteful number, since it uses less digits than its factorization.

30711240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 30711240 is about 5541.7722796954. The cubic root of 30711240 is about 313.1596391574.

Adding to 30711240 its reverse (4211703), we get a palindrome (34922943).

The spelling of 30711240 in words is "thirty million, seven hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1741 1764 1960 2205 2520 2940 3482 3528 4410 5223 5880 6964 8705 8820 10446 12187 13928 15669 17410 17640 20892 24374 26115 31338 34820 36561 41784 48748 52230 60935 62676 69640 73122 78345 85309 97496 104460 109683 121870 125352 146244 156690 170618 182805 208920 219366 243740 255927 292488 313380 341236 365610 426545 438732 487480 511854 548415 626760 682472 731220 767781 853090 877464 1023708 1096830 1279635 1462440 1535562 1706180 2047416 2193660 2559270 3071124 3412360 3838905 4387320 5118540 6142248 7677810 10237080 15355620 30711240