[go: up one dir, main page]

Search a number
-
+
378924030 = 2325193753113
BaseRepresentation
bin10110100101011…
…110101111111110
3222102000100001100
4112211132233332
51234001032110
6101333353530
712250541532
oct2645365776
9872010040
10378924030
11184990261
12a6a988a6
1360672504
1438479bc2
15233edbc0
hex1695ebfe

378924030 has 192 divisors, whose sum is σ = 1094783040. Its totient is φ = 90574848.

The previous prime is 378924017. The next prime is 378924071. The reversal of 378924030 is 30429873.

It is a super-2 number, since 2×3789240302 = 287166841022881800, which contains 22 as substring.

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, 3353254 + ... + 3353366.

It is an arithmetic number, because the mean of its divisors is an integer number (5701995).

Almost surely, 2378924030 is an apocalyptic number.

378924030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378924030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547391520).

378924030 is an abundant number, since it is smaller than the sum of its proper divisors (715859010).

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

378924030 is a wasteful number, since it uses less digits than its factorization.

378924030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 378924030 is about 19465.9710777552. The cubic root of 378924030 is about 723.6313648424.

The spelling of 378924030 in words is "three hundred seventy-eight million, nine hundred twenty-four thousand, thirty".