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3478140 = 2234519113
BaseRepresentation
bin1101010001001001111100
320112201010000
431101021330
51342300030
6202314300
741364231
oct15211174
96481100
103478140
111a661a6
1211b8990
1394a193
14667788
1548a860
hex35127c

3478140 has 120 divisors (see below), whose sum is σ = 11586960. Its totient is φ = 870912.

The previous prime is 3478127. The next prime is 3478147. The reversal of 3478140 is 418743.

3478140 is digitally balanced in base 2, 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 (27).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30724 + ... + 30836.

It is an arithmetic number, because the mean of its divisors is an integer number (96558).

Almost surely, 23478140 is an apocalyptic number.

3478140 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 3478140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793480).

3478140 is an abundant number, since it is smaller than the sum of its proper divisors (8108820).

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

3478140 is a wasteful number, since it uses less digits than its factorization.

3478140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3478140 is about 1864.9772116570. The cubic root of 3478140 is about 151.5126937702.

The spelling of 3478140 in words is "three million, four hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 113 114 135 162 171 180 190 226 228 270 285 324 339 342 380 405 452 513 540 565 570 678 684 810 855 1017 1026 1130 1140 1356 1539 1620 1695 1710 2034 2052 2147 2260 2565 3051 3078 3390 3420 4068 4294 5085 5130 6102 6156 6441 6780 7695 8588 9153 10170 10260 10735 12204 12882 15255 15390 18306 19323 20340 21470 25764 30510 30780 32205 36612 38646 42940 45765 57969 61020 64410 77292 91530 96615 115938 128820 173907 183060 193230 231876 289845 347814 386460 579690 695628 869535 1159380 1739070 3478140