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3375280480 = 2551121313411
BaseRepresentation
bin1100100100101110…
…1011000101100000
322201020012000101011
43021023223011200
523403032433410
61314531550304
7146433260605
oct31113530540
98636160334
103375280480
111482292200
127a245b394
1341a37c4b0
142403b46ac
1514b4c318a
hexc92eb160

3375280480 has 144 divisors (see below), whose sum is σ = 9439848432. Its totient is φ = 1132876800.

The previous prime is 3375280409. The next prime is 3375280483. The reversal of 3375280480 is 840825733.

It is a super-2 number, since 2×33752804802 = 22785036637338060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375280483) 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, 244975 + ... + 258385.

It is an arithmetic number, because the mean of its divisors is an integer number (65554503).

Almost surely, 23375280480 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 3375280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719924216).

3375280480 is an abundant number, since it is smaller than the sum of its proper divisors (6064567952).

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

3375280480 is a wasteful number, since it uses less digits than its factorization.

3375280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13461 (or 13442 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 3375280480 is about 58097.1641304462. The cubic root of 3375280480 is about 1500.0415514416.

The spelling of 3375280480 in words is "three billion, three hundred seventy-five million, two hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 121 130 143 160 176 208 220 242 260 286 352 416 440 484 520 572 605 715 880 968 1040 1144 1210 1430 1573 1760 1936 2080 2288 2420 2860 3146 3872 4576 4840 5720 6292 7865 9680 11440 12584 13411 15730 19360 22880 25168 26822 31460 50336 53644 62920 67055 107288 125840 134110 147521 174343 214576 251680 268220 295042 348686 429152 536440 590084 697372 737605 871715 1072880 1180168 1394744 1475210 1622731 1743430 1917773 2145760 2360336 2789488 2950420 3245462 3486860 3835546 4720672 5578976 5900840 6490924 6973720 7671092 8113655 9588865 11801680 12981848 13947440 15342184 16227310 19177730 21095503 23603360 25963696 27894880 30684368 32454620 38355460 42191006 51927392 61368736 64909240 76710920 84382012 105477515 129818480 153421840 168764024 210955030 259636960 306843680 337528048 421910060 675056096 843820120 1687640240 3375280480