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33420431434 = 2134153211161
BaseRepresentation
bin11111001000000000…
…110101000001001010
310012021010102211012211
4133020000311001022
51021421112301214
623204135455334
72262121660105
oct371000650112
9105233384184
1033420431434
111319aa64875
12658852754a
1331c7bc2820
14189081373c
15d0906a0c4
hex7c803504a

33420431434 has 48 divisors (see below), whose sum is σ = 56371805784. Its totient is φ = 14763340800.

The previous prime is 33420431389. The next prime is 33420431449. The reversal of 33420431434 is 43413402433.

It can be written as a sum of positive squares in 12 ways, for example, as 1011430809 + 32409000625 = 31803^2 + 180025^2 .

It is a super-2 number, since 2×334204314342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33420431396 and 33420431405.

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 23 ways as a sum of consecutive naturals, for example, 2988814 + ... + 2999974.

Almost surely, 233420431434 is an apocalyptic number.

33420431434 is a deficient number, since it is larger than the sum of its proper divisors (22951374350).

33420431434 is a wasteful number, since it uses less digits than its factorization.

33420431434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11270 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 33420431434 its reverse (43413402433), we get a palindrome (76833833867).

The spelling of 33420431434 in words is "thirty-three billion, four hundred twenty million, four hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 13 26 41 53 82 106 533 689 1066 1378 2173 2809 4346 5618 11161 22322 28249 36517 56498 73034 115169 145093 230338 290186 457601 591533 915202 1183066 1497197 2994394 5948813 7689929 11897626 15379858 24252853 31351249 48505706 62702498 315287089 407566237 630574178 815132474 1285401209 2570802418 16710215717 33420431434