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712382034 = 237136173293
BaseRepresentation
bin101010011101100…
…001011001010010
31211122110202102210
4222131201121102
52424332211114
6154404452550
723440101360
oct5235413122
91748422383
10712382034
11336137191
1217a6aa156
13b4786240
146a87c630
154281b259
hex2a761652

712382034 has 128 divisors (see below), whose sum is σ = 1812883968. Its totient is φ = 181647360.

The previous prime is 712382017. The next prime is 712382057. The reversal of 712382034 is 430283217.

It is a junction number, because it is equal to n+sod(n) for n = 712381992 and 712382010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2431192 + ... + 2431484.

It is an arithmetic number, because the mean of its divisors is an integer number (14163156).

Almost surely, 2712382034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712382034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906441984).

712382034 is an abundant number, since it is smaller than the sum of its proper divisors (1100501934).

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

712382034 is a wasteful number, since it uses less digits than its factorization.

712382034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 712382034 is about 26690.4858329705. The cubic root of 712382034 is about 893.1086988406.

The spelling of 712382034 in words is "seven hundred twelve million, three hundred eighty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 73 78 91 122 146 182 183 219 273 293 366 427 438 511 546 586 793 854 879 949 1022 1281 1533 1586 1758 1898 2051 2379 2562 2847 3066 3809 4102 4453 4758 5551 5694 6153 6643 7618 8906 11102 11427 12306 13286 13359 16653 17873 19929 21389 22854 26663 26718 31171 33306 35746 39858 42778 53326 53619 57889 62342 64167 79989 93513 107238 115778 125111 128334 149723 159978 173667 187026 232349 250222 278057 299446 347334 375333 405223 449169 464698 556114 697047 750666 810446 834171 898338 1215669 1304729 1394094 1626443 1668342 1946399 2431338 2609458 3252886 3892798 3914187 4879329 5839197 7828374 9133103 9758658 11678394 16961477 18266206 27399309 33922954 50884431 54798618 101768862 118730339 237460678 356191017 712382034