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3878460 = 2232529743
BaseRepresentation
bin1110110010111000111100
321022001020200
432302320330
51443102320
6215043500
744652315
oct16627074
97261220
103878460
112209a43
121370590
13a5a461
1472d60c
15519290
hex3b2e3c

3878460 has 72 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 997248.

The previous prime is 3878449. The next prime is 3878491. The reversal of 3878460 is 648783.

3878460 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4849 + ... + 5591.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 23878460 is an apocalyptic number.

3878460 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 3878460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3878460 is an abundant number, since it is smaller than the sum of its proper divisors (8308260).

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

3878460 is a wasteful number, since it uses less digits than its factorization.

3878460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3878460 is about 1969.3806132894. The cubic root of 3878460 is about 157.1157678609.

The spelling of 3878460 in words is "three million, eight hundred seventy-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 743 870 1044 1305 1486 1740 2229 2610 2972 3715 4458 5220 6687 7430 8916 11145 13374 14860 21547 22290 26748 33435 43094 44580 64641 66870 86188 107735 129282 133740 193923 215470 258564 323205 387846 430940 646410 775692 969615 1292820 1939230 3878460