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3394840608 = 253213678623
BaseRepresentation
bin1100101001011001…
…0010100000100000
322202120222202211100
43022112102200200
523423034344413
61320511114400
7150061445325
oct31226224040
98676882740
103394840608
111492331aa5
127a8b12a00
1342143a633
14242c26b4c
1514d088a73
hexca592820

3394840608 has 72 divisors (see below), whose sum is σ = 9662260608. Its totient is φ = 1130654592.

The previous prime is 3394840573. The next prime is 3394840651. The reversal of 3394840608 is 8060484933.

3394840608 is a `hidden beast` number, since 3 + 39 + 4 + 8 + 4 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389385 + ... + 398007.

It is an arithmetic number, because the mean of its divisors is an integer number (134198064).

Almost surely, 23394840608 is an apocalyptic number.

It is an amenable number.

3394840608 is an abundant number, since it is smaller than the sum of its proper divisors (6267420000).

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

3394840608 is a wasteful number, since it uses less digits than its factorization.

3394840608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3394840608 is about 58265.2607305588. The cubic root of 3394840608 is about 1502.9336082216.

The spelling of 3394840608 in words is "three billion, three hundred ninety-four million, eight hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1367 2734 4101 5468 8202 8623 10936 12303 16404 17246 21872 24606 25869 32808 34492 43744 49212 51738 65616 68984 77607 98424 103476 131232 137968 155214 196848 206952 275936 310428 393696 413904 620856 827808 1241712 2483424 11787641 23575282 35362923 47150564 70725846 94301128 106088769 141451692 188602256 212177538 282903384 377204512 424355076 565806768 848710152 1131613536 1697420304 3394840608