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3642030 = 233574147
BaseRepresentation
bin1101111001001010101110
320212000221000
431321022232
51413021110
6210021130
742646110
oct15711256
96760830
103642030
112068347
1212777a6
139a6962
146ab3b0
154be1c0
hex3792ae

3642030 has 128 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 794880.

The previous prime is 3642019. The next prime is 3642031. The reversal of 3642030 is 302463.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3641994 and 3642012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77467 + ... + 77513.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 23642030 is an apocalyptic number.

3642030 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 3642030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3642030 is an abundant number, since it is smaller than the sum of its proper divisors (7970130).

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

3642030 is a wasteful number, since it uses less digits than its factorization.

3642030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3642030 is about 1908.4103332355. The cubic root of 3642030 is about 153.8560244308.

Adding to 3642030 its reverse (302463), we get a palindrome (3944493).

The spelling of 3642030 in words is "three million, six hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 47 54 63 70 82 90 94 105 123 126 135 141 189 205 210 235 246 270 282 287 315 329 369 378 410 423 470 574 615 630 658 705 738 846 861 945 987 1107 1230 1269 1410 1435 1645 1722 1845 1890 1927 1974 2115 2214 2538 2583 2870 2961 3290 3690 3854 4230 4305 4935 5166 5535 5781 5922 6345 7749 8610 8883 9635 9870 11070 11562 12690 12915 13489 14805 15498 17343 17766 19270 25830 26978 28905 29610 34686 38745 40467 44415 52029 57810 67445 77490 80934 86715 88830 104058 121401 134890 173430 202335 242802 260145 364203 404670 520290 607005 728406 1214010 1821015 3642030