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40030320 = 24351159257
BaseRepresentation
bin1001100010110…
…1000001110000
32210022202021110
42120231001300
540221432240
63545553320
7664152321
oct230550160
983282243
1040030320
1120661410
12114a5840
1383a75a5
145460448
1537aac80
hex262d070

40030320 has 160 divisors (see below), whose sum is σ = 138205440. Its totient is φ = 9502720.

The previous prime is 40030313. The next prime is 40030357. The reversal of 40030320 is 2303004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40030296 and 40030305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155632 + ... + 155888.

It is an arithmetic number, because the mean of its divisors is an integer number (863784).

Almost surely, 240030320 is an apocalyptic number.

40030320 is a gapful number since it is divisible by the number (40) 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 40030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69102720).

40030320 is an abundant number, since it is smaller than the sum of its proper divisors (98175120).

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

40030320 is a wasteful number, since it uses less digits than its factorization.

40030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 40030320 is about 6326.9518727425. The cubic root of 40030320 is about 342.0815782959.

Adding to 40030320 its reverse (2303004), we get a palindrome (42333324).

The spelling of 40030320 in words is "forty million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 59 60 66 80 88 110 118 120 132 165 176 177 220 236 240 257 264 295 330 354 440 472 514 528 590 649 660 708 771 880 885 944 1028 1180 1285 1298 1320 1416 1542 1770 1947 2056 2360 2570 2596 2640 2827 2832 3084 3245 3540 3855 3894 4112 4720 5140 5192 5654 6168 6490 7080 7710 7788 8481 9735 10280 10384 11308 12336 12980 14135 14160 15163 15420 15576 16962 19470 20560 22616 25960 28270 30326 30840 31152 33924 38940 42405 45232 45489 51920 56540 60652 61680 67848 75815 77880 84810 90978 113080 121304 135696 151630 155760 166793 169620 181956 226160 227445 242608 303260 333586 339240 363912 454890 500379 606520 667172 678480 727824 833965 909780 1000758 1213040 1334344 1667930 1819560 2001516 2501895 2668688 3335860 3639120 4003032 5003790 6671720 8006064 10007580 13343440 20015160 40030320