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3978300 = 2235289149
BaseRepresentation
bin1111001011010000111100
321111010012110
433023100330
52004301200
6221134020
745546354
oct17132074
97433173
103978300
112277a57
1213ba310
13a93a31
14757b64
15538b50
hex3cb43c

3978300 has 72 divisors (see below), whose sum is σ = 11718000. Its totient is φ = 1041920.

The previous prime is 3978283. The next prime is 3978301. The reversal of 3978300 is 38793.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978301) 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, 26626 + ... + 26774.

It is an arithmetic number, because the mean of its divisors is an integer number (162750).

Almost surely, 23978300 is an apocalyptic number.

3978300 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 3978300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859000).

3978300 is an abundant number, since it is smaller than the sum of its proper divisors (7739700).

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

3978300 is a wasteful number, since it uses less digits than its factorization.

3978300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3978300 is about 1994.5676223182. The cubic root of 3978300 is about 158.4525295119.

It can be divided in two parts, 3978 and 300, that added together give a triangular number (4278 = T92).

The spelling of 3978300 in words is "three million, nine hundred seventy-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 149 150 178 267 298 300 356 445 447 534 596 745 890 894 1068 1335 1490 1780 1788 2225 2235 2670 2980 3725 4450 4470 5340 6675 7450 8900 8940 11175 13261 13350 14900 22350 26522 26700 39783 44700 53044 66305 79566 132610 159132 198915 265220 331525 397830 663050 795660 994575 1326100 1989150 3978300