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3628240 = 2457111931
BaseRepresentation
bin1101110101110011010000
320211100000021
431311303100
51412100430
6205433224
742560650
oct15656320
96740007
103628240
112058a50
12126b814
139a05b5
146a6360
154ba07a
hex375cd0

3628240 has 160 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 1036800.

The previous prime is 3628201. The next prime is 3628243. The reversal of 3628240 is 428263.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117025 + ... + 117055.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

Almost surely, 23628240 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 3628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

3628240 is an abundant number, since it is smaller than the sum of its proper divisors (7799600).

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

3628240 is a wasteful number, since it uses less digits than its factorization.

3628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3628240 is about 1904.7939521114. The cubic root of 3628240 is about 153.6615945822.

The spelling of 3628240 in words is "three million, six hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 19 20 22 28 31 35 38 40 44 55 56 62 70 76 77 80 88 95 110 112 124 133 140 152 154 155 176 190 209 217 220 248 266 280 304 308 310 341 380 385 418 434 440 496 532 560 589 616 620 665 682 760 770 836 868 880 1045 1064 1085 1178 1232 1240 1330 1364 1463 1520 1540 1672 1705 1736 2090 2128 2170 2356 2387 2480 2660 2728 2926 2945 3080 3344 3410 3472 4123 4180 4340 4712 4774 5320 5456 5852 5890 6160 6479 6820 7315 8246 8360 8680 9424 9548 10640 11704 11780 11935 12958 13640 14630 16492 16720 17360 19096 20615 23408 23560 23870 25916 27280 29260 32395 32984 38192 41230 45353 47120 47740 51832 58520 64790 65968 82460 90706 95480 103664 117040 129580 164920 181412 190960 226765 259160 329840 362824 453530 518320 725648 907060 1814120 3628240