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3977328 = 243414347
BaseRepresentation
bin1111001011000001110000
321111001212110
433023001300
52004233303
6221125320
745543465
oct17130160
97431773
103977328
112277253
1213b9840
13a93464
1475766c
15538703
hex3cb070

3977328 has 80 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 1236480.

The previous prime is 3977317. The next prime is 3977339. The reversal of 3977328 is 8237793.

It is an interprime number because it is at equal distance from previous prime (3977317) and next prime (3977339).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84601 + ... + 84647.

Almost surely, 23977328 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 3977328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

3977328 is an abundant number, since it is smaller than the sum of its proper divisors (7021968).

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

3977328 is a wasteful number, since it uses less digits than its factorization.

3977328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 3977328 is about 1994.3239456016. The cubic root of 3977328 is about 158.4396237981.

The spelling of 3977328 in words is "three million, nine hundred seventy-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 47 48 82 86 94 123 129 141 164 172 188 246 258 282 328 344 376 492 516 564 656 688 752 984 1032 1128 1763 1927 1968 2021 2064 2256 3526 3854 4042 5289 5781 6063 7052 7708 8084 10578 11562 12126 14104 15416 16168 21156 23124 24252 28208 30832 32336 42312 46248 48504 82861 84624 92496 97008 165722 248583 331444 497166 662888 994332 1325776 1988664 3977328