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34400643610 = 25192912135147
BaseRepresentation
bin100000000010011100…
…000010101000011010
310021210102212202112111
4200002130002220122
51030423031043420
623445313102534
72325323434414
oct400234025032
9107712782474
1034400643610
11136532a2783
126800857a4a
133322cc2028
141944a8d9b4
15d6513d45a
hex802702a1a

34400643610 has 64 divisors (see below), whose sum is σ = 67496457600. Its totient is φ = 12573695232.

The previous prime is 34400643587. The next prime is 34400643619. The reversal of 34400643610 is 1634600443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34400643619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6681057 + ... + 6686203.

It is an arithmetic number, because the mean of its divisors is an integer number (1054632150).

Almost surely, 234400643610 is an apocalyptic number.

34400643610 is a deficient number, since it is larger than the sum of its proper divisors (33095813990).

34400643610 is a wasteful number, since it uses less digits than its factorization.

34400643610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415.

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 34400643610 in words is "thirty-four billion, four hundred million, six hundred forty-three thousand, six hundred ten".

Divisors: 1 2 5 10 19 29 38 58 95 145 190 290 551 1102 1213 2426 2755 5147 5510 6065 10294 12130 23047 25735 35177 46094 51470 70354 97793 115235 149263 175885 195586 230470 298526 351770 488965 668363 746315 977930 1336726 1492630 2835997 3341815 5671994 6243311 6683630 12486622 14179985 28359970 31216555 62433110 118622909 181056019 237245818 362112038 593114545 905280095 1186229090 1810560190 3440064361 6880128722 17200321805 34400643610