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3412303020 = 2232572708177
BaseRepresentation
bin1100101101100011…
…1001110010101100
322210210211221202100
43023120321302230
523442022144040
61322333255100
7150363045210
oct31330716254
98723757670
103412303020
1114a1179845
127b2934490
13424c42a19
14245290940
1514e887b30
hexcb639cac

3412303020 has 72 divisors (see below), whose sum is σ = 11829321504. Its totient is φ = 779954688.

The previous prime is 3412303007. The next prime is 3412303033. The reversal of 3412303020 is 203032143.

3412303020 is a `hidden beast` number, since 341 + 2 + 303 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3412303007) and next prime (3412303033).

It is a super-2 number, since 2×34123030202 = 23287623800602240800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3412302984 and 3412303002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352829 + ... + 1355348.

It is an arithmetic number, because the mean of its divisors is an integer number (164296132).

Almost surely, 23412303020 is an apocalyptic number.

3412303020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412303020 is an abundant number, since it is smaller than the sum of its proper divisors (8417018484).

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

3412303020 is a wasteful number, since it uses less digits than its factorization.

3412303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708199 (or 2708194 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3412303020 is about 58414.9212102524. The cubic root of 3412303020 is about 1505.5061369068.

Adding to 3412303020 its reverse (203032143), we get a palindrome (3615335163).

The spelling of 3412303020 in words is "three billion, four hundred twelve million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2708177 5416354 8124531 10832708 13540885 16249062 18957239 24373593 27081770 32498124 37914478 40622655 48747186 54163540 56871717 75828956 81245310 94786195 97494372 113743434 121867965 162490620 170615151 189572390 227486868 243735930 284358585 341230302 379144780 487471860 568717170 682460604 853075755 1137434340 1706151510 3412303020