Search a number
-
+
304006103760 = 24351266692099
BaseRepresentation
bin1000110110010000010…
…11010000001011010000
31002001200201010011222110
410123020023100023100
514440101030310020
6351354121505320
730651361150212
oct4331013201320
91061621104873
10304006103760
11107a2357a357
124ab03042240
132288aaa95c8
14109dd2045b2
157d9423c8e0
hex46c82d02d0

304006103760 has 40 divisors (see below), whose sum is σ = 942418922400. Its totient is φ = 81068294272.

The previous prime is 304006103743. The next prime is 304006103761. The reversal of 304006103760 is 67301600403.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3040061037602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304006103761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633345810 + ... + 633346289.

It is an arithmetic number, because the mean of its divisors is an integer number (23560473060).

Almost surely, 2304006103760 is an apocalyptic number.

304006103760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304006103760 is an abundant number, since it is smaller than the sum of its proper divisors (638412818640).

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

304006103760 is a wasteful number, since it uses less digits than its factorization.

304006103760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266692115 (or 1266692109 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 304006103760 in words is "three hundred four billion, six million, one hundred three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1266692099 2533384198 3800076297 5066768396 6333460495 7600152594 10133536792 12666920990 15200305188 19000381485 20267073584 25333841980 30400610376 38000762970 50667683960 60801220752 76001525940 101335367920 152003051880 304006103760