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3149438976 = 2133329491
BaseRepresentation
bin1011101110111000…
…1010000000000000
322010111020002002000
42323232022000000
522422224021401
61240303224000
7141021534555
oct27356120000
98114202060
103149438976
11137685a132
1273a8a8000
133b2647c78
1421c3c6a2c
15136762186
hexbbb8a000

3149438976 has 224 divisors, whose sum is σ = 9672523200. Its totient is φ = 1011548160.

The previous prime is 3149438959. The next prime is 3149438977. The reversal of 3149438976 is 6798349413.

It is a happy number.

3149438976 is a `hidden beast` number, since 3 + 1 + 494 + 3 + 89 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3149438977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414091 + ... + 6414581.

Almost surely, 23149438976 is an apocalyptic number.

3149438976 is a gapful number since it is divisible by the number (36) 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 3149438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836261600).

3149438976 is an abundant number, since it is smaller than the sum of its proper divisors (6523084224).

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

3149438976 is an equidigital number, since it uses as much as digits as its factorization.

3149438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 525 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3149438976 is about 56119.8625800171. The cubic root of 3149438976 is about 1465.8101768841.

The spelling of 3149438976 in words is "three billion, one hundred forty-nine million, four hundred thirty-eight thousand, nine hundred seventy-six".