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30418740 = 2235511569
BaseRepresentation
bin111010000001…
…0011100110100
32010020102200000
41310002130310
530241344430
63003551300
7516361242
oct164023464
963212600
1030418740
1116197060
12a22b530
1363c0771
14407b792
152a0ce60
hex1d02734

30418740 has 144 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 7361280.

The previous prime is 30418727. The next prime is 30418741. The reversal of 30418740 is 4781403.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30418741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53176 + ... + 53744.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 230418740 is an apocalyptic number.

30418740 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 30418740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

30418740 is an abundant number, since it is smaller than the sum of its proper divisors (74151180).

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

30418740 is a wasteful number, since it uses less digits than its factorization.

30418740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 30418740 is about 5515.3186671307. The cubic root of 30418740 is about 312.1622676628.

It can be divided in two parts, 3041 and 8740, that added together give a triangular number (11781 = T153).

The spelling of 30418740 in words is "thirty million, four hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 569 594 660 810 891 972 990 1138 1188 1215 1485 1620 1707 1782 1980 2276 2430 2673 2845 2970 3414 3564 4455 4860 5121 5346 5690 5940 6259 6828 8535 8910 10242 10692 11380 12518 13365 15363 17070 17820 18777 20484 25036 25605 26730 30726 31295 34140 37554 46089 51210 53460 56331 61452 62590 75108 76815 92178 93885 102420 112662 125180 138267 153630 168993 184356 187770 225324 230445 276534 281655 307260 337986 375540 460890 506979 553068 563310 675972 691335 844965 921780 1013958 1126620 1382670 1520937 1689930 2027916 2534895 2765340 3041874 3379860 5069790 6083748 7604685 10139580 15209370 30418740