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304121088 = 2833231913
BaseRepresentation
bin10010001000001…
…000010100000000
3210012020221201000
4102020020110000
51110323333323
650102212000
710351662255
oct2210102400
9705227630
10304121088
11146739747
1285a24000
134b01180b
142c56742c
151ba74e43
hex12208500

304121088 has 144 divisors (see below), whose sum is σ = 938931840. Its totient is φ = 96915456.

The previous prime is 304121063. The next prime is 304121113. The reversal of 304121088 is 880121403.

It is an interprime number because it is at equal distance from previous prime (304121063) and next prime (304121113).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 158020 + ... + 159932.

It is an arithmetic number, because the mean of its divisors is an integer number (6520360).

Almost surely, 2304121088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469465920).

304121088 is an abundant number, since it is smaller than the sum of its proper divisors (634810752).

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

304121088 is a wasteful number, since it uses less digits than its factorization.

304121088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 304121088 is about 17439.0678649978. The cubic root of 304121088 is about 672.4843447017.

The spelling of 304121088 in words is "three hundred four million, one hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 1913 2208 2304 2484 2944 3312 3456 3826 4416 4968 5739 5888 6624 6912 7652 8832 9936 11478 13248 15304 17217 17664 19872 22956 26496 30608 34434 39744 43999 45912 51651 52992 61216 68868 79488 87998 91824 103302 122432 131997 137736 158976 175996 183648 206604 244864 263994 275472 351992 367296 395991 413208 489728 527988 550944 703984 734592 791982 826416 1055976 1101888 1187973 1407968 1469184 1583964 1652832 2111952 2203776 2375946 2815936 3167928 3305664 4223904 4407552 4751892 5631872 6335856 6611328 8447808 9503784 11263744 12671712 13222656 16895616 19007568 25343424 33791232 38015136 50686848 76030272 101373696 152060544 304121088