Search a number
-
+
3376430280 = 2332519747609
BaseRepresentation
bin1100100101000000…
…0011110011001000
322201022100102121100
43021100003303020
523403331232110
61315012341400
7146446120026
oct31120036310
98638312540
103376430280
1114829a8053
127a2914860
1341a692952
142405d3716
1514b64dbc0
hexc9403cc8

3376430280 has 96 divisors (see below), whose sum is σ = 11029332600. Its totient is φ = 895792128.

The previous prime is 3376430263. The next prime is 3376430327. The reversal of 3376430280 is 820346733.

3376430280 is a `hidden beast` number, since 3 + 3 + 7 + 643 + 0 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3323983716 + 52446564 = 57654^2 + 7242^2 .

It is a super-2 number, since 2×33764302802 = 22800562871401756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47116 + ... + 94724.

Almost surely, 23376430280 is an apocalyptic number.

3376430280 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 3376430280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514666300).

3376430280 is an abundant number, since it is smaller than the sum of its proper divisors (7652902320).

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

3376430280 is a wasteful number, since it uses less digits than its factorization.

3376430280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47823 (or 47816 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3376430280 is about 58107.0587794633. The cubic root of 3376430280 is about 1500.2118634079.

The spelling of 3376430280 in words is "three billion, three hundred seventy-six million, four hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1576 1773 1970 2364 2955 3546 3940 4728 5910 7092 7880 8865 11820 14184 17730 23640 35460 47609 70920 95218 142827 190436 238045 285654 380872 428481 476090 571308 714135 856962 952180 1142616 1428270 1713924 1904360 2142405 2856540 3427848 4284810 5713080 8569620 9378973 17139240 18757946 28136919 37515892 46894865 56273838 75031784 84410757 93789730 112547676 140684595 168821514 187579460 225095352 281369190 337643028 375158920 422053785 562738380 675286056 844107570 1125476760 1688215140 3376430280