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3760380 = 22325131607
BaseRepresentation
bin1110010110000011111100
321002001021100
432112003330
51430313010
6212333100
743651131
oct16260374
97061240
103760380
112139258
121314190
13a187a0
146dc588
154e42c0
hex3960fc

3760380 has 72 divisors (see below), whose sum is σ = 12291552. Its totient is φ = 925056.

The previous prime is 3760363. The next prime is 3760381. The reversal of 3760380 is 830673.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3760381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1537 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (170716).

Almost surely, 23760380 is an apocalyptic number.

3760380 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 3760380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145776).

3760380 is an abundant number, since it is smaller than the sum of its proper divisors (8531172).

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

3760380 is a wasteful number, since it uses less digits than its factorization.

3760380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3760380 is about 1939.1699255094. The cubic root of 3760380 is about 155.5048402322.

The spelling of 3760380 in words is "three million, seven hundred sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1607 2340 3214 4821 6428 8035 9642 14463 16070 19284 20891 24105 28926 32140 41782 48210 57852 62673 72315 83564 96420 104455 125346 144630 188019 208910 250692 289260 313365 376038 417820 626730 752076 940095 1253460 1880190 3760380