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71834070 = 2357113257
BaseRepresentation
bin1000100100000…
…01100111010110
312000011112211010
410102001213112
5121342142240
611043353050
71531402530
oct422014726
9160145733
1071834070
1137604000
1220082786
1311b61589
14977c850
15648e280
hex44819d6

71834070 has 128 divisors (see below), whose sum is σ = 217562112. Its totient is φ = 14868480.

The previous prime is 71834051. The next prime is 71834071. The reversal of 71834070 is 7043817.

It is a happy number.

It is a super-2 number, since 2×718340702 = 10320267225529800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71834071) 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 63 ways as a sum of consecutive naturals, for example, 279382 + ... + 279638.

It is an arithmetic number, because the mean of its divisors is an integer number (1699704).

Almost surely, 271834070 is an apocalyptic number.

71834070 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71834070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108781056).

71834070 is an abundant number, since it is smaller than the sum of its proper divisors (145728042).

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

71834070 is a wasteful number, since it uses less digits than its factorization.

71834070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 71834070 is about 8475.4982154443. The cubic root of 71834070 is about 415.6969370273.

Adding to 71834070 its reverse (7043817), we get a palindrome (78877887).

The spelling of 71834070 in words is "seventy-one million, eight hundred thirty-four thousand, seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 257 330 363 385 462 514 605 726 770 771 847 1155 1210 1285 1331 1542 1694 1799 1815 2310 2541 2570 2662 2827 3598 3630 3855 3993 4235 5082 5397 5654 6655 7710 7986 8470 8481 8995 9317 10794 12705 13310 14135 16962 17990 18634 19789 19965 25410 26985 27951 28270 31097 39578 39930 42405 46585 53970 55902 59367 62194 84810 93170 93291 98945 118734 139755 155485 186582 197890 217679 279510 296835 310970 342067 435358 466455 593670 653037 684134 932910 1026201 1088395 1306074 1710335 2052402 2176790 2394469 3265185 3420670 4788938 5131005 6530370 7183407 10262010 11972345 14366814 23944690 35917035 71834070