Search a number
-
+
61034376 = 23313533691
BaseRepresentation
bin1110100011010…
…0111110001000
311020211212102110
43220310332020
5111111100001
610020102320
71340532534
oct350647610
9136755373
1061034376
11314a8037
12185349a0
13c84ca20
14816abc4
1555593d6
hex3a34f88

61034376 has 64 divisors (see below), whose sum is σ = 167469120. Its totient is φ = 18420480.

The previous prime is 61034333. The next prime is 61034377. The reversal of 61034376 is 67343016.

61034376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61034377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14691 + ... + 18381.

It is an arithmetic number, because the mean of its divisors is an integer number (2616705).

Almost surely, 261034376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61034376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83734560).

61034376 is an abundant number, since it is smaller than the sum of its proper divisors (106434744).

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

61034376 is a wasteful number, since it uses less digits than its factorization.

61034376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 61034376 is about 7812.4500638404. The cubic root of 61034376 is about 393.7236503405.

The spelling of 61034376 in words is "sixty-one million, thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 3691 4134 5512 7382 8268 11073 14764 16536 22146 29528 44292 47983 88584 95966 143949 191932 195623 287898 383864 391246 575796 586869 782492 1151592 1173738 1564984 2347476 2543099 4694952 5086198 7629297 10172396 15258594 20344792 30517188 61034376