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380835 = 33571331
BaseRepresentation
bin1011100111110100011
3201100102000
41130332203
544141320
612055043
73144210
oct1347643
9640360
10380835
11240144
12164483
13104460
149cb07
1577c90
hex5cfa3

380835 has 64 divisors (see below), whose sum is σ = 860160. Its totient is φ = 155520.

The previous prime is 380819. The next prime is 380837. The reversal of 380835 is 538083.

It is not a de Polignac number, because 380835 - 24 = 380819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 380799 and 380808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12270 + ... + 12300.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2380835 is an apocalyptic number.

380835 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

380835 is an abundant number, since it is smaller than the sum of its proper divisors (479325).

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

380835 is a wasteful number, since it uses less digits than its factorization.

380835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 380835 is about 617.1183030830. The cubic root of 380835 is about 72.4845785670.

The spelling of 380835 in words is "three hundred eighty thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 31 35 39 45 63 65 91 93 105 117 135 155 189 195 217 273 279 315 351 403 455 465 585 651 819 837 945 1085 1209 1365 1395 1755 1953 2015 2457 2821 3255 3627 4095 4185 5859 6045 8463 9765 10881 12285 14105 18135 25389 29295 42315 54405 76167 126945 380835