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304034640 = 243571313921
BaseRepresentation
bin10010000111110…
…011001101010000
3210012002120010020
4102013303031100
51110313102030
650100303440
710351152240
oct2207631520
9705076106
10304034640
1114668a7a8
12859a1b80
134acb1370
142c543b20
151ba59510
hex121f3350

304034640 has 160 divisors (see below), whose sum is σ = 1160092416. Its totient is φ = 64143360.

The previous prime is 304034623. The next prime is 304034641. The reversal of 304034640 is 46430403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 304034640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304034641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14880 + ... + 28800.

Almost surely, 2304034640 is an apocalyptic number.

304034640 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 304034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580046208).

304034640 is an abundant number, since it is smaller than the sum of its proper divisors (856057776).

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

304034640 is a wasteful number, since it uses less digits than its factorization.

304034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13957 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 304034640 is about 17436.5891159940. The cubic root of 304034640 is about 672.4206196065.

The spelling of 304034640 in words is "three hundred four million, thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 13921 21840 27842 41763 55684 69605 83526 97447 111368 139210 167052 180973 194894 208815 222736 278420 292341 334104 361946 389788 417630 487235 542919 556840 584682 668208 723892 779576 835260 904865 974470 1085838 1113680 1169364 1266811 1447784 1461705 1559152 1670520 1809730 1948940 2171676 2338728 2533622 2714595 2895568 2923410 3341040 3619460 3800433 3897880 4343352 4677456 5067244 5429190 5846820 6334055 7238920 7600866 7795760 8686704 10134488 10858380 11693640 12668110 14477840 15201732 19002165 20268976 21716760 23387280 25336220 30403464 38004330 43433520 50672440 60806928 76008660 101344880 152017320 304034640