Search a number
-
+
3072377088 = 283311172377
BaseRepresentation
bin1011011100100000…
…1100000100000000
321221010012221001000
42313020030010000
522243012031323
61224511412000
7136064526414
oct26710140400
97833187030
103072377088
111337305420
12718b24000
1339c6a6011
14212086d44
1512eadde43
hexb720c100

3072377088 has 288 divisors, whose sum is σ = 10498965120. Its totient is φ = 875888640.

The previous prime is 3072377081. The next prime is 3072377089. The reversal of 3072377088 is 8807732703.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3072377081) 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, 1291356 + ... + 1293732.

It is an arithmetic number, because the mean of its divisors is an integer number (36454740).

Almost surely, 23072377088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3072377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249482560).

3072377088 is an abundant number, since it is smaller than the sum of its proper divisors (7426588032).

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

3072377088 is a wasteful number, since it uses less digits than its factorization.

3072377088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 3072377088 is about 55429.0274856054. The cubic root of 3072377088 is about 1453.7559522462.

The spelling of 3072377088 in words is "three billion, seventy-two million, three hundred seventy-seven thousand, eighty-eight".