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3351641340 = 223561947967
BaseRepresentation
bin1100011111000101…
…1111110011111100
322122120201000120110
43013301133303330
523331010010330
61312325150020
7146025324045
oct30761376374
98576630513
103351641340
11146aa06823
1279655b310
134154c3838
1423b1bd8cc
151493a3db0
hexc7c5fcfc

3351641340 has 96 divisors (see below), whose sum is σ = 9558388224. Its totient is φ = 877282560.

The previous prime is 3351641339. The next prime is 3351641383. The reversal of 3351641340 is 431461533.

It is a super-2 number, since 2×33516413402 = 22466999343993991200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3351641298 and 3351641307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3465537 + ... + 3466503.

It is an arithmetic number, because the mean of its divisors is an integer number (99566544).

Almost surely, 23351641340 is an apocalyptic number.

3351641340 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 3351641340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779194112).

3351641340 is an abundant number, since it is smaller than the sum of its proper divisors (6206746884).

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

3351641340 is a wasteful number, since it uses less digits than its factorization.

3351641340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3351641340 is about 57893.3617956325. The cubic root of 3351641340 is about 1496.5314433699.

The spelling of 3351641340 in words is "three billion, three hundred fifty-one million, six hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 947 967 1220 1830 1894 1934 2841 2901 3660 3788 3868 4735 4835 5682 5802 9470 9670 11364 11604 14205 14505 18940 19340 28410 29010 56820 57767 58020 58987 115534 117974 173301 176961 231068 235948 288835 294935 346602 353922 577670 589870 693204 707844 866505 884805 915749 1155340 1179740 1733010 1769610 1831498 2747247 3466020 3539220 3662996 4578745 5494494 9157490 10988988 13736235 18314980 27472470 54944940 55860689 111721378 167582067 223442756 279303445 335164134 558606890 670328268 837910335 1117213780 1675820670 3351641340