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3380195952 = 2432717197257
BaseRepresentation
bin1100100101111001…
…1011001001110000
322201120102202010200
43021132123021300
523410312232302
61315225155200
7146523122460
oct31136331160
98646382120
103380195952
11148503a281
127a402bb00
1341b3b0963
14240cd3ba0
1514bb4481c
hexc979b270

3380195952 has 120 divisors (see below), whose sum is σ = 11447276256. Its totient is φ = 908955648.

The previous prime is 3380195911. The next prime is 3380195953. The reversal of 3380195952 is 2595910833.

3380195952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33801959522 = 22851449347834372608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3380195898 and 3380195907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380195953) 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, 81493 + ... + 115764.

Almost surely, 23380195952 is an apocalyptic number.

It is an amenable number.

3380195952 is an abundant number, since it is smaller than the sum of its proper divisors (8067080304).

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

3380195952 is a wasteful number, since it uses less digits than its factorization.

3380195952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197295 (or 197286 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 3380195952 is about 58139.4526290023. The cubic root of 3380195952 is about 1500.7693759729.

The spelling of 3380195952 in words is "three billion, three hundred eighty million, one hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 197257 394514 591771 789028 1183542 1380799 1578056 1775313 2367084 2761598 3156112 3353369 3550626 4142397 4734168 5523196 6706738 7101252 8284794 9468336 10060107 11046392 12427191 13413476 14202504 16569588 20120214 22092784 23473583 24854382 26826952 28405008 30180321 33139176 40240428 46947166 49708764 53653904 60360642 66278352 70420749 80480856 93894332 99417528 120721284 140841498 160961712 187788664 198835056 211262247 241442568 281682996 375577328 422524494 482885136 563365992 845048988 1126731984 1690097976 3380195952