Search a number
-
+
330740777400 = 2335211233136961
BaseRepresentation
bin1001101000000011010…
…11111100000110111000
31011121200220010022200020
410310001223330012320
520404324114334100
6411535030410440
732616031136145
oct4640153740670
91147626108606
10330740777400
111182a2601360
1254124500a20
132525b80c717
1412017adb3cc
15890b3625a0
hex4d01afc1b8

330740777400 has 384 divisors, whose sum is σ = 1171032906240. Its totient is φ = 76437504000.

The previous prime is 330740777357. The next prime is 330740777491. The reversal of 330740777400 is 4777047033.

It is a congruent number.

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, 47509920 + ... + 47516880.

It is an arithmetic number, because the mean of its divisors is an integer number (3049564860).

Almost surely, 2330740777400 is an apocalyptic number.

330740777400 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 330740777400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585516453120).

330740777400 is an abundant number, since it is smaller than the sum of its proper divisors (840292128840).

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

330740777400 is a wasteful number, since it uses less digits than its factorization.

330740777400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 42.

The spelling of 330740777400 in words is "three hundred thirty billion, seven hundred forty million, seven hundred seventy-seven thousand, four hundred".