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3145740 = 22351337109
BaseRepresentation
bin1100000000000000001100
312220211010220
430000000030
51301130430
6151231340
735511153
oct14000014
95824126
103145740
111859494
121078550
13861ab0
145bc59a
15422110
hex30000c

3145740 has 96 divisors (see below), whose sum is σ = 9831360. Its totient is φ = 746496.

The previous prime is 3145739. The next prime is 3145741. The reversal of 3145740 is 475413.

It is an interprime number because it is at equal distance from previous prime (3145739) and next prime (3145741).

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3145740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28806 + ... + 28914.

It is an arithmetic number, because the mean of its divisors is an integer number (102410).

Almost surely, 23145740 is an apocalyptic number.

3145740 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 3145740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915680).

3145740 is an abundant number, since it is smaller than the sum of its proper divisors (6685620).

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

3145740 is a wasteful number, since it uses less digits than its factorization.

3145740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3145740 is about 1773.6234098590. The cubic root of 3145740 is about 146.5236093608.

The spelling of 3145740 in words is "three million, one hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 109 111 130 148 156 185 195 218 222 260 327 370 390 436 444 481 545 555 654 740 780 962 1090 1110 1308 1417 1443 1635 1924 2180 2220 2405 2834 2886 3270 4033 4251 4810 5668 5772 6540 7085 7215 8066 8502 9620 12099 14170 14430 16132 17004 20165 21255 24198 28340 28860 40330 42510 48396 52429 60495 80660 85020 104858 120990 157287 209716 241980 262145 314574 524290 629148 786435 1048580 1572870 3145740