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3464244420 = 22357133197211
BaseRepresentation
bin1100111001111100…
…0010110011000100
322221102120211221220
43032133002303010
524043321310140
61331430440340
7151563406650
oct31637026304
98842524856
103464244420
11151852611a
128082030b0
1343292a990
1424c131a60
151541e7bd0
hexce7c2cc4

3464244420 has 384 divisors, whose sum is σ = 12509478912. Its totient is φ = 696729600.

The previous prime is 3464244391. The next prime is 3464244439. The reversal of 3464244420 is 244424643.

It is a happy number.

3464244420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34642444202 = 24001978803002272800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16418115 + ... + 16418325.

It is an arithmetic number, because the mean of its divisors is an integer number (32576768).

Almost surely, 23464244420 is an apocalyptic number.

3464244420 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 3464244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254739456).

3464244420 is an abundant number, since it is smaller than the sum of its proper divisors (9045234492).

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

3464244420 is a wasteful number, since it uses less digits than its factorization.

3464244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

The square root of 3464244420 is about 58857.8322740483. The cubic root of 3464244420 is about 1513.1065410602.

The spelling of 3464244420 in words is "three billion, four hundred sixty-four million, two hundred forty-four thousand, four hundred twenty".