Search a number
-
+
3698730 = 2335719103
BaseRepresentation
bin1110000111000000101010
320221220201000
432013000222
51421324410
6211135430
743303320
oct16070052
96856630
103698730
1120a6a02
1212a4576
139c66c9
146c3d10
154d0dc0
hex38702a

3698730 has 128 divisors (see below), whose sum is σ = 11980800. Its totient is φ = 793152.

The previous prime is 3698719. The next prime is 3698753. The reversal of 3698730 is 378963.

3698730 is nontrivially palindromic in base 11 and base 13.

It is a super-2 number, since 2×36987302 = 27361207225800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35859 + ... + 35961.

It is an arithmetic number, because the mean of its divisors is an integer number (93600).

Almost surely, 23698730 is an apocalyptic number.

3698730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3698730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990400).

3698730 is an abundant number, since it is smaller than the sum of its proper divisors (8282070).

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

3698730 is a wasteful number, since it uses less digits than its factorization.

3698730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3698730 is about 1923.2082570538. The cubic root of 3698730 is about 154.6503390992.

The spelling of 3698730 in words is "three million, six hundred ninety-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 103 105 114 126 133 135 171 189 190 206 210 266 270 285 309 315 342 378 399 513 515 570 618 630 665 721 798 855 927 945 1026 1030 1197 1330 1442 1545 1710 1854 1890 1957 1995 2163 2394 2565 2781 3090 3591 3605 3914 3990 4326 4635 5130 5562 5871 5985 6489 7182 7210 9270 9785 10815 11742 11970 12978 13699 13905 17613 17955 19467 19570 21630 27398 27810 29355 32445 35226 35910 38934 41097 52839 58710 64890 68495 82194 88065 97335 105678 123291 136990 176130 194670 205485 246582 264195 369873 410970 528390 616455 739746 1232910 1849365 3698730