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34081047 = 3371113297
BaseRepresentation
bin1000001000000…
…0100100010111
32101010111102000
42002000210113
532211043142
63214250343
7562453440
oct202004427
971114360
1034081047
1118268660
12b4b69b3
1370a3700
1447522c7
152ed314c
hex2080917

34081047 has 96 divisors (see below), whose sum is σ = 68866560. Its totient is φ = 16174080.

The previous prime is 34081013. The next prime is 34081049. The reversal of 34081047 is 74018043.

It is not a de Polignac number, because 34081047 - 28 = 34080791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34081047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34081049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351303 + ... + 351399.

It is an arithmetic number, because the mean of its divisors is an integer number (717360).

Almost surely, 234081047 is an apocalyptic number.

34081047 is an abundant number, since it is smaller than the sum of its proper divisors (34785513).

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

34081047 is a wasteful number, since it uses less digits than its factorization.

34081047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34081047 is about 5837.8974811142. The cubic root of 34081047 is about 324.2183884300.

The spelling of 34081047 in words is "thirty-four million, eighty-one thousand, forty-seven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 97 99 117 143 169 189 231 273 291 297 351 429 507 679 693 819 873 1001 1067 1183 1261 1287 1521 1859 2037 2079 2457 2619 3003 3201 3549 3783 3861 4563 5577 6111 7469 8827 9009 9603 10647 11349 13013 13871 16393 16731 18333 22407 26481 27027 28809 31941 34047 39039 41613 49179 50193 67221 79443 97097 114751 117117 124839 147537 180323 201663 238329 291291 344253 351351 374517 442611 540969 873873 1032759 1262261 1622907 2621619 3098277 3786783 4868721 11360349 34081047