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3346331340 = 22351117298247
BaseRepresentation
bin1100011101110100…
…1111011011001100
322122012201020121210
43013131033123030
523323130100330
61312015254420
7145632230022
oct30735173314
98565636553
103346331340
111467a0a2a0
1279481a410
13414384921
1423a5da712
15148ba58b0
hexc774f6cc

3346331340 has 96 divisors (see below), whose sum is σ = 10822823424. Its totient is φ = 763509760.

The previous prime is 3346331327. The next prime is 3346331353. The reversal of 3346331340 is 431336433.

It is an interprime number because it is at equal distance from previous prime (3346331327) and next prime (3346331353).

It is a super-2 number, since 2×33463313402 = 22395866874132391200, 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 = 3346331298 and 3346331307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137904 + ... + 160343.

It is an arithmetic number, because the mean of its divisors is an integer number (112737744).

Almost surely, 23346331340 is an apocalyptic number.

3346331340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3346331340 is an abundant number, since it is smaller than the sum of its proper divisors (7476492084).

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

3346331340 is a wasteful number, since it uses less digits than its factorization.

3346331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298287 (or 298285 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 3346331340 is about 57847.4834370520. The cubic root of 3346331340 is about 1495.7407081807.

Adding to 3346331340 its reverse (431336433), we get a palindrome (3777667773).

The spelling of 3346331340 in words is "three billion, three hundred forty-six million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 298247 596494 894741 1192988 1491235 1789482 2982470 3280717 3578964 4473705 5070199 5964940 6561434 8947410 9842151 10140398 13122868 15210597 16403585 17894820 19684302 20280796 25350995 30421194 32807170 39368604 49210755 50701990 55772189 60842388 65614340 76052985 98421510 101403980 111544378 152105970 167316567 196843020 223088756 278860945 304211940 334633134 557721890 669266268 836582835 1115443780 1673165670 3346331340