Search a number
-
+
3149158320 = 24325711431321
BaseRepresentation
bin1011101110110100…
…0101011110110000
322010110200211002100
42323231011132300
522422141031240
61240253220400
7141016255410
oct27355053660
98113624070
103149158320
111376688290
1273a791700
133b257a2b9
1421c352640
15136708e30
hexbbb457b0

3149158320 has 480 divisors, whose sum is σ = 13502421504. Its totient is φ = 638668800.

The previous prime is 3149158301. The next prime is 3149158351. The reversal of 3149158320 is 238519413.

3149158320 is a `hidden beast` number, since 31 + 49 + 1 + 583 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2383260 + ... + 2384580.

Almost surely, 23149158320 is an apocalyptic number.

3149158320 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 3149158320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751210752).

3149158320 is an abundant number, since it is smaller than the sum of its proper divisors (10353263184).

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

3149158320 is a wasteful number, since it uses less digits than its factorization.

3149158320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3149158320 is about 56117.3620192539. The cubic root of 3149158320 is about 1465.7666346697.

The spelling of 3149158320 in words is "three billion, one hundred forty-nine million, one hundred fifty-eight thousand, three hundred twenty".