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3832380 = 2233547151
BaseRepresentation
bin1110100111101000111100
321012201001000
432213220330
51440114010
6214050300
744401056
oct16475074
97181030
103832380
112188362
121349990
13a424a6
1471a8d6
1550a7c0
hex3a7a3c

3832380 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 993600.

The previous prime is 3832351. The next prime is 3832397. The reversal of 3832380 is 832383.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 25305 + ... + 25455.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 23832380 is an apocalyptic number.

3832380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3832380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

3832380 is an abundant number, since it is smaller than the sum of its proper divisors (8424900).

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

3832380 is a wasteful number, since it uses less digits than its factorization.

3832380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3832380 is about 1957.6465462386. The cubic root of 3832380 is about 156.4910561837.

The spelling of 3832380 in words is "three million, eight hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 151 180 188 235 270 282 302 423 453 470 540 564 604 705 755 846 906 940 1269 1359 1410 1510 1692 1812 2115 2265 2538 2718 2820 3020 4077 4230 4530 5076 5436 6345 6795 7097 8154 8460 9060 12690 13590 14194 16308 20385 21291 25380 27180 28388 35485 40770 42582 63873 70970 81540 85164 106455 127746 141940 191619 212910 255492 319365 383238 425820 638730 766476 958095 1277460 1916190 3832380