Search a number
-
+
3077770752 = 29327243317
BaseRepresentation
bin1011011101110011…
…0000111000000000
321221111100221202100
42313130300320000
522300402131002
61225223150400
7136161422400
oct26734607000
97844327670
103077770752
11133a3597a1
1271a8a5400
133a0844034
14212a8c800
1513030711c
hexb7730e00

3077770752 has 360 divisors, whose sum is σ = 10606537656. Its totient is φ = 856203264.

The previous prime is 3077770733. The next prime is 3077770757. The reversal of 3077770752 is 2570777703.

It is a junction number, because it is equal to n+sod(n) for n = 3077770698 and 3077770707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3077770757) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9708898 + ... + 9709214.

Almost surely, 23077770752 is an apocalyptic number.

3077770752 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 3077770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303268828).

3077770752 is an abundant number, since it is smaller than the sum of its proper divisors (7528766904).

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

3077770752 is a wasteful number, since it uses less digits than its factorization.

3077770752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 504210, while the sum is 45.

The square root of 3077770752 is about 55477.6599362302. The cubic root of 3077770752 is about 1454.6061611633.

The spelling of 3077770752 in words is "three billion, seventy-seven million, seven hundred seventy thousand, seven hundred fifty-two".