Search a number
-
+
3141480 = 233547557
BaseRepresentation
bin1011111110111101101000
312220121022010
423332331220
51301011410
6151155520
735462556
oct13767550
95817263
103141480
111856271
121075ba0
1385cb84
145babd6
15420c20
hex2fef68

3141480 has 64 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 818432.

The previous prime is 3141473. The next prime is 3141487. The reversal of 3141480 is 841413.

It is an interprime number because it is at equal distance from previous prime (3141473) and next prime (3141487).

It is not an unprimeable number, because it can be changed into a prime (3141487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5362 + ... + 5918.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 23141480 is an apocalyptic number.

3141480 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 3141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

3141480 is an abundant number, since it is smaller than the sum of its proper divisors (6500760).

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

3141480 is a wasteful number, since it uses less digits than its factorization.

3141480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3141480 is about 1772.4220716297. The cubic root of 3141480 is about 146.4574381207.

Adding to 3141480 its reverse (841413), we get a palindrome (3982893).

The spelling of 3141480 in words is "three million, one hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 557 564 705 940 1114 1128 1410 1671 1880 2228 2785 2820 3342 4456 5570 5640 6684 8355 11140 13368 16710 22280 26179 33420 52358 66840 78537 104716 130895 157074 209432 261790 314148 392685 523580 628296 785370 1047160 1570740 3141480