Search a number
-
+
381170040 = 233510330839
BaseRepresentation
bin10110101110000…
…011000101111000
3222120020102222220
4112232003011320
51240034420130
6101453444040
712305614626
oct2656030570
9876212886
10381170040
11186184769
12a77a0620
1360c7a904
14388a2516
15236e4410
hex16b83178

381170040 has 64 divisors (see below), whose sum is σ = 1154649600. Its totient is φ = 100655232.

The previous prime is 381170033. The next prime is 381170051. The reversal of 381170040 is 40071183.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3060 + ... + 27779.

It is an arithmetic number, because the mean of its divisors is an integer number (18041400).

Almost surely, 2381170040 is an apocalyptic number.

381170040 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 381170040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577324800).

381170040 is an abundant number, since it is smaller than the sum of its proper divisors (773479560).

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

381170040 is a wasteful number, since it uses less digits than its factorization.

381170040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30956 (or 30952 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 381170040 is about 19523.5765166119. The cubic root of 381170040 is about 725.0582846523.

The spelling of 381170040 in words is "three hundred eighty-one million, one hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 30839 61678 92517 123356 154195 185034 246712 308390 370068 462585 616780 740136 925170 1233560 1850340 3176417 3700680 6352834 9529251 12705668 15882085 19058502 25411336 31764170 38117004 47646255 63528340 76234008 95292510 127056680 190585020 381170040