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3468030804 = 22327172361577
BaseRepresentation
bin1100111010110101…
…1111001101010100
322221200201012220100
43032231133031110
524100303441204
61332043534100
7151640526660
oct31655371524
98850635810
103468030804
11151a681967
1280952a330
13433655244
1424c8398a0
151546e4a39
hexceb5f354

3468030804 has 288 divisors, whose sum is σ = 11270278656. Its totient is φ = 875888640.

The previous prime is 3468030793. The next prime is 3468030823. The reversal of 3468030804 is 4080308643.

3468030804 is a `hidden beast` number, since 346 + 8 + 0 + 308 + 0 + 4 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6010164 + ... + 6010740.

It is an arithmetic number, because the mean of its divisors is an integer number (39132912).

Almost surely, 23468030804 is an apocalyptic number.

3468030804 is a gapful number since it is divisible by the number (34) 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 3468030804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635139328).

3468030804 is an abundant number, since it is smaller than the sum of its proper divisors (7802247852).

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

3468030804 is a wasteful number, since it uses less digits than its factorization.

3468030804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3468030804 is about 58889.9889964330. The cubic root of 3468030804 is about 1513.6576103699.

The spelling of 3468030804 in words is "three billion, four hundred sixty-eight million, thirty thousand, eight hundred four".