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3409990272 = 273313711069
BaseRepresentation
bin1100101101000000…
…0101001010000000
322210122111110021000
43023100011022000
523440424142042
61322211532000
7150334303413
oct31320051200
98718443230
103409990272
11149a93a187
127b1bba000
13424613130
14244c4bb7a
1514e57c74c
hexcb405280

3409990272 has 256 divisors, whose sum is σ = 11001312000. Its totient is φ = 1033482240.

The previous prime is 3409990261. The next prime is 3409990277. The reversal of 3409990272 is 2720999043.

It is not an unprimeable number, because it can be changed into a prime (3409990277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3189354 + ... + 3190422.

It is an arithmetic number, because the mean of its divisors is an integer number (42973875).

Almost surely, 23409990272 is an apocalyptic number.

3409990272 is a gapful number since it is divisible by the number (32) 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 3409990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500656000).

3409990272 is an abundant number, since it is smaller than the sum of its proper divisors (7591321728).

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

3409990272 is a wasteful number, since it uses less digits than its factorization.

3409990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3409990272 is about 58395.1219880565. The cubic root of 3409990272 is about 1505.1659323380.

The spelling of 3409990272 in words is "three billion, four hundred nine million, nine hundred ninety thousand, two hundred seventy-two".