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3434120424 = 2332747144973
BaseRepresentation
bin1100110010110000…
…1000010011101000
322212022220101121100
43030230020103220
524013113323144
61324433041400
7151046353620
oct31454102350
98768811540
103434120424
111502520559
127ba0b6260
13429611427
1424812d880
15151747269
hexccb084e8

3434120424 has 96 divisors (see below), whose sum is σ = 10855653120. Its totient is φ = 960294528.

The previous prime is 3434120423. The next prime is 3434120453. The reversal of 3434120424 is 4240214343.

It is a happy number.

3434120424 is a `hidden beast` number, since 3 + 434 + 1 + 204 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (3434120423) 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 23 ways as a sum of consecutive naturals, for example, 48799 + ... + 96174.

It is an arithmetic number, because the mean of its divisors is an integer number (113079720).

Almost surely, 23434120424 is an apocalyptic number.

It is an amenable number.

3434120424 is an abundant number, since it is smaller than the sum of its proper divisors (7421532696).

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

3434120424 is a wasteful number, since it uses less digits than its factorization.

3434120424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145039 (or 145032 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3434120424 is about 58601.3687894745. The cubic root of 3434120424 is about 1508.7079314634.

Adding to 3434120424 its reverse (4240214343), we get a palindrome (7674334767).

The spelling of 3434120424 in words is "three billion, four hundred thirty-four million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 7896 11844 23688 144973 289946 434919 579892 869838 1014811 1159784 1304757 1739676 2029622 2609514 3044433 3479352 4059244 5219028 6088866 6813731 8118488 9133299 10438056 12177732 13627462 18266598 20441193 24355464 27254924 36533196 40882386 47696117 54509848 61323579 73066392 81764772 95392234 122647158 143088351 163529544 190784468 245294316 286176702 381568936 429265053 490588632 572353404 858530106 1144706808 1717060212 3434120424