Search a number
-
+
3375491280 = 2435710319507
BaseRepresentation
bin1100100100110001…
…1110100011010000
322201020120201112120
43021030132203100
523403111210110
61314540254240
7146435126310
oct31114364320
98636521476
103375491280
111482416617
127a2541380
1341a424425
1424042b440
1514b515870
hexc931e8d0

3375491280 has 160 divisors (see below), whose sum is σ = 12075608064. Its totient is φ = 764011008.

The previous prime is 3375491213. The next prime is 3375491281. The reversal of 3375491280 is 821945733.

It is a super-2 number, since 2×33754912802 = 22787882762712076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375491281) 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, 163287 + ... + 182793.

Almost surely, 23375491280 is an apocalyptic number.

3375491280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3375491280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037804032).

3375491280 is an abundant number, since it is smaller than the sum of its proper divisors (8700116784).

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

3375491280 is a wasteful number, since it uses less digits than its factorization.

3375491280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19633 (or 19627 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3375491280 is about 58098.9783042697. The cubic root of 3375491280 is about 1500.0727786910.

The spelling of 3375491280 in words is "three billion, three hundred seventy-five million, four hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 103 105 112 120 140 168 206 210 240 280 309 336 412 420 515 560 618 721 824 840 1030 1236 1442 1545 1648 1680 2060 2163 2472 2884 3090 3605 4120 4326 4944 5768 6180 7210 8240 8652 10815 11536 12360 14420 17304 19507 21630 24720 28840 34608 39014 43260 57680 58521 78028 86520 97535 117042 136549 156056 173040 195070 234084 273098 292605 312112 390140 409647 468168 546196 585210 682745 780280 819294 936336 1092392 1170420 1365490 1560560 1638588 2009221 2048235 2184784 2340840 2730980 3277176 4018442 4096470 4681680 5461960 6027663 6554352 8036884 8192940 10046105 10923920 12055326 14064547 16073768 16385880 20092210 24110652 28129094 30138315 32147536 32771760 40184420 42193641 48221304 56258188 60276630 70322735 80368840 84387282 96442608 112516376 120553260 140645470 160737680 168774564 210968205 225032752 241106520 281290940 337549128 421936410 482213040 562581880 675098256 843872820 1125163760 1687745640 3375491280