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3643068 = 22311213193
BaseRepresentation
bin1101111001011010111100
320212002100110
431321122330
51413034233
6210030020
742652122
oct15713274
96762313
103643068
112069100
121278310
139a7280
146ab912
154be663
hex3796bc

3643068 has 72 divisors (see below), whose sum is σ = 10114384. Its totient is φ = 1013760.

The previous prime is 3643063. The next prime is 3643099. The reversal of 3643068 is 8603463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643063) 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, 18780 + ... + 18972.

Almost surely, 23643068 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 3643068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057192).

3643068 is an abundant number, since it is smaller than the sum of its proper divisors (6471316).

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

3643068 is a wasteful number, since it uses less digits than its factorization.

3643068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3643068 is about 1908.6822679535. The cubic root of 3643068 is about 153.8706396668.

The spelling of 3643068 in words is "three million, six hundred forty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 193 242 286 363 386 429 484 572 579 726 772 858 1158 1452 1573 1716 2123 2316 2509 3146 4246 4719 5018 6292 6369 7527 8492 9438 10036 12738 15054 18876 23353 25476 27599 30108 46706 55198 70059 82797 93412 110396 140118 165594 280236 303589 331188 607178 910767 1214356 1821534 3643068