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3360252640 = 255171976271
BaseRepresentation
bin1100100001001001…
…0110001011100000
322200011220112001111
43020102112023200
523340211041030
61313233513104
7146161450633
oct31022261340
98604815044
103360252640
1114748585a8
12799412794
1341721a294
1423c3c1c1a
1514a00562a
hexc84962e0

3360252640 has 96 divisors (see below), whose sum is σ = 8449588224. Its totient is φ = 1258414080.

The previous prime is 3360252607. The next prime is 3360252647. The reversal of 3360252640 is 462520633.

It is a happy number.

It is a super-2 number, since 2×33602526402 = 22582595609253939200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360252647) 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, 532705 + ... + 538975.

It is an arithmetic number, because the mean of its divisors is an integer number (88016544).

Almost surely, 23360252640 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 3360252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224794112).

3360252640 is an abundant number, since it is smaller than the sum of its proper divisors (5089335584).

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

3360252640 is a wasteful number, since it uses less digits than its factorization.

3360252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6500 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 3360252640 is about 57967.6861708314. The cubic root of 3360252640 is about 1497.8120159616.

The spelling of 3360252640 in words is "three billion, three hundred sixty million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 197 272 340 394 544 680 788 985 1360 1576 1970 2720 3152 3349 3940 6271 6304 6698 7880 12542 13396 15760 16745 25084 26792 31355 31520 33490 50168 53584 62710 66980 100336 106607 107168 125420 133960 200672 213214 250840 267920 426428 501680 533035 535840 852856 1003360 1066070 1235387 1705712 2132140 2470774 3411424 4264280 4941548 6176935 8528560 9883096 12353870 17057120 19766192 21001579 24707740 39532384 42003158 49415480 84006316 98830960 105007895 168012632 197661920 210015790 336025264 420031580 672050528 840063160 1680126320 3360252640