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34013234440 = 2352371520717
BaseRepresentation
bin11111101011010110…
…001100010100001000
310020210102220100001201
4133223112030110020
51024124342000230
623343033353544
72312610502543
oct375326142410
9106712810051
1034013234440
1113474647509
126712b688b4
13329096b633
14190944585a
15d411155ca
hex7eb58c508

34013234440 has 64 divisors (see below), whose sum is σ = 80982063360. Its totient is φ = 12830442240.

The previous prime is 34013234401. The next prime is 34013234443. The reversal of 34013234440 is 4443231043.

It is a super-2 number, since 2×340132344402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34013234399 and 34013234408.

It is not an unprimeable number, because it can be changed into a prime (34013234443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 195039 + ... + 325678.

It is an arithmetic number, because the mean of its divisors is an integer number (1265344740).

Almost surely, 234013234440 is an apocalyptic number.

It is an amenable number.

34013234440 is an abundant number, since it is smaller than the sum of its proper divisors (46968828920).

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

34013234440 is a wasteful number, since it uses less digits than its factorization.

34013234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520822 (or 520818 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34013234440 its reverse (4443231043), we get a palindrome (38456465483).

The spelling of 34013234440 in words is "thirty-four billion, thirteen million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 710 920 1420 1633 2840 3266 6532 8165 13064 16330 32660 65320 520717 1041434 2082868 2603585 4165736 5207170 10414340 11976491 20828680 23952982 36970907 47905964 59882455 73941814 95811928 119764910 147883628 184854535 239529820 295767256 369709070 479059640 739418140 850330861 1478836280 1700661722 3401323444 4251654305 6802646888 8503308610 17006617220 34013234440