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3102432320 = 265136711131
BaseRepresentation
bin1011100011101011…
…0101110001000000
322000012202220001202
42320322311301000
522323210313240
61231503520332
7136611145121
oct27072656100
98005686052
103102432320
111352273359
12726bb90a8
133a599a190
1421606c048
15132579315
hexb8eb5c40

3102432320 has 112 divisors (see below), whose sum is σ = 8075419968. Its totient is φ = 1128314880.

The previous prime is 3102432293. The next prime is 3102432337. The reversal of 3102432320 is 232342013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3102432292 and 3102432301.

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, 273155 + ... + 284285.

It is an arithmetic number, because the mean of its divisors is an integer number (72101964).

Almost surely, 23102432320 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 3102432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037709984).

3102432320 is an abundant number, since it is smaller than the sum of its proper divisors (4972987648).

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

3102432320 is a wasteful number, since it uses less digits than its factorization.

3102432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228 (or 11218 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3102432320 is about 55699.4822238053. The cubic root of 3102432320 is about 1458.4809872230.

Adding to 3102432320 its reverse (232342013), we get a palindrome (3334774333).

The spelling of 3102432320 in words is "three billion, one hundred two million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 67 80 104 130 134 160 208 260 268 320 335 416 520 536 670 832 871 1040 1072 1340 1742 2080 2144 2680 3484 4160 4288 4355 5360 6968 8710 10720 11131 13936 17420 21440 22262 27872 34840 44524 55655 55744 69680 89048 111310 139360 144703 178096 222620 278720 289406 356192 445240 578812 712384 723515 745777 890480 1157624 1447030 1491554 1780960 2315248 2894060 2983108 3561920 3728885 4630496 5788120 5966216 7457770 9260992 9695101 11576240 11932432 14915540 19390202 23152480 23864864 29831080 38780404 46304960 47729728 48475505 59662160 77560808 96951010 119324320 155121616 193902020 238648640 310243232 387804040 620486464 775608080 1551216160 3102432320