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3680952 = 2331173191
BaseRepresentation
bin1110000010101010111000
320221000022120
432002222320
51420242302
6210521240
743200432
oct16025270
96830276
103680952
112094610
121296220
139bb5a2
146bb652
154ca9bc
hex382ab8

3680952 has 64 divisors (see below), whose sum is σ = 10229760. Its totient is φ = 1094400.

The previous prime is 3680947. The next prime is 3680953. The reversal of 3680952 is 2590863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680953) 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, 19177 + ... + 19367.

It is an arithmetic number, because the mean of its divisors is an integer number (159840).

Almost surely, 23680952 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 3680952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114880).

3680952 is an abundant number, since it is smaller than the sum of its proper divisors (6548808).

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

3680952 is a wasteful number, since it uses less digits than its factorization.

3680952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3680952 is about 1918.5807254322. The cubic root of 3680952 is about 154.4021646810.

The spelling of 3680952 in words is "three million, six hundred eighty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 191 219 264 292 382 438 573 584 764 803 876 1146 1528 1606 1752 2101 2292 2409 3212 4202 4584 4818 6303 6424 8404 9636 12606 13943 16808 19272 25212 27886 41829 50424 55772 83658 111544 153373 167316 306746 334632 460119 613492 920238 1226984 1840476 3680952