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380752134 = 23719598087
BaseRepresentation
bin10110101100011…
…101000100000110
3222112110012201220
4112230131010012
51234433032014
6101440501210
712302224350
oct2654350406
9875405656
10380752134
11185a19794
12a761a806
1360b62629
14387d40d0
15236606a9
hex16b1d106

380752134 has 64 divisors (see below), whose sum is σ = 931737600. Its totient is φ = 101301408.

The previous prime is 380752133. The next prime is 380752171. The reversal of 380752134 is 431257083.

It is a junction number, because it is equal to n+sod(n) for n = 380752095 and 380752104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380752133) 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 31 ways as a sum of consecutive naturals, for example, 43039 + ... + 51125.

It is an arithmetic number, because the mean of its divisors is an integer number (14558400).

Almost surely, 2380752134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380752134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465868800).

380752134 is an abundant number, since it is smaller than the sum of its proper divisors (550985466).

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

380752134 is a wasteful number, since it uses less digits than its factorization.

380752134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 380752134 is about 19512.8709830204. The cubic root of 380752134 is about 724.7932087199.

The spelling of 380752134 in words is "three hundred eighty million, seven hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 266 354 399 413 798 826 1121 1239 2242 2478 3363 6726 7847 8087 15694 16174 23541 24261 47082 48522 56609 113218 153653 169827 307306 339654 460959 477133 921918 954266 1075571 1431399 2151142 2862798 3226713 3339931 6453426 6679862 9065527 10019793 18131054 20039586 27196581 54393162 63458689 126917378 190376067 380752134