Search a number
-
+
3498040 = 235713312
BaseRepresentation
bin1101010110000000111000
320120201102001
431112000320
51343414130
6202550344
741506240
oct15260070
96521361
103498040
111a7a147
1212083b4
13956260
14670b20
154916ca
hex356038

3498040 has 96 divisors (see below), whose sum is σ = 10009440. Its totient is φ = 1071360.

The previous prime is 3498037. The next prime is 3498043. The reversal of 3498040 is 408943.

It is an interprime number because it is at equal distance from previous prime (3498037) and next prime (3498043).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3498043) 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, 112825 + ... + 112855.

It is an arithmetic number, because the mean of its divisors is an integer number (104265).

Almost surely, 23498040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3498040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004720).

3498040 is an abundant number, since it is smaller than the sum of its proper divisors (6511400).

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

3498040 is a wasteful number, since it uses less digits than its factorization.

3498040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3498040 is about 1870.3047879958. The cubic root of 3498040 is about 151.8011018047.

The spelling of 3498040 in words is "three million, four hundred ninety-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 260 280 310 364 403 434 455 520 620 728 806 868 910 961 1085 1240 1612 1736 1820 1922 2015 2170 2821 3224 3640 3844 4030 4340 4805 5642 6727 7688 8060 8680 9610 11284 12493 13454 14105 16120 19220 22568 24986 26908 28210 33635 38440 49972 53816 56420 62465 67270 87451 99944 112840 124930 134540 174902 249860 269080 349804 437255 499720 699608 874510 1749020 3498040