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83734134 = 231171107167
BaseRepresentation
bin1001111110110…
…10111001110110
312211120010122020
410333122321312
5132413443014
612150414010
72034504561
oct477327166
9184503566
1083734134
11432a1770
1224061306
1314469c33
14b1994d8
1575401a9
hex4fdae76

83734134 has 64 divisors (see below), whose sum is σ = 188116992. Its totient is φ = 24634400.

The previous prime is 83734111. The next prime is 83734153. The reversal of 83734134 is 43143738.

It is a super-2 number, since 2×837341342 = 14022810393459912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 83734095 and 83734104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501319 + ... + 501485.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 283734134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83734134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058496).

83734134 is an abundant number, since it is smaller than the sum of its proper divisors (104382858).

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

83734134 is a wasteful number, since it uses less digits than its factorization.

83734134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361.

The product of its digits is 24192, while the sum is 33.

The square root of 83734134 is about 9150.6357156211. The cubic root of 83734134 is about 437.4893759597.

The spelling of 83734134 in words is "eighty-three million, seven hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 71 107 142 167 213 214 321 334 426 501 642 781 1002 1177 1562 1837 2343 2354 3531 3674 4686 5511 7062 7597 11022 11857 15194 17869 22791 23714 35571 35738 45582 53607 71142 83567 107214 130427 167134 196559 250701 260854 391281 393118 501402 589677 782562 1179354 1268699 2537398 3806097 7612194 13955689 27911378 41867067 83734134