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3540264 = 2337131621
BaseRepresentation
bin1101100000010100101000
320122212022220
431200110220
51401242024
6203514040
742043320
oct15402450
96585286
103540264
111aa8942
121228920
1396c540
14682280
1549de79
hex360528

3540264 has 64 divisors (see below), whose sum is σ = 10899840. Its totient is φ = 933120.

The previous prime is 3540263. The next prime is 3540269. The reversal of 3540264 is 4620453.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 313 + 55 + 45 + 0 + 25 + 68 + 49 .

It is not an unprimeable number, because it can be changed into a prime (3540263) 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, 1374 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (170310).

Almost surely, 23540264 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 3540264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449920).

3540264 is an abundant number, since it is smaller than the sum of its proper divisors (7359576).

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

3540264 is a wasteful number, since it uses less digits than its factorization.

3540264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3540264 is about 1881.5589281232. The cubic root of 3540264 is about 152.4094454779.

The spelling of 3540264 in words is "three million, five hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1621 2184 3242 4863 6484 9726 11347 12968 19452 21073 22694 34041 38904 42146 45388 63219 68082 84292 90776 126438 136164 147511 168584 252876 272328 295022 442533 505752 590044 885066 1180088 1770132 3540264