Search a number
-
+
3102140340 = 22325132101977
BaseRepresentation
bin1011100011100110…
…1110011110110100
322000012020001112200
42320321232132310
522323121442330
61231453344500
7136605520635
oct27071563664
98005201480
103102140340
111352093a52
12726a98130
133a58c7300
14215dd388c
1513251ca60
hexb8e6e7b4

3102140340 has 108 divisors (see below), whose sum is σ = 10189437804. Its totient is φ = 763596288.

The previous prime is 3102140339. The next prime is 3102140351. The reversal of 3102140340 is 430412013.

3102140340 is a `hidden beast` number, since 310 + 2 + 14 + 0 + 340 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1235381904 + 1866758436 = 35148^2 + 43206^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20569 + ... + 81408.

Almost surely, 23102140340 is an apocalyptic number.

3102140340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3102140340 is an abundant number, since it is smaller than the sum of its proper divisors (7087297464).

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

3102140340 is a wasteful number, since it uses less digits than its factorization.

3102140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102018 (or 102000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3102140340 is about 55696.8611323834. The cubic root of 3102140340 is about 1458.4352316572.

Adding to 3102140340 its reverse (430412013), we get a palindrome (3532552353).

The spelling of 3102140340 in words is "three billion, one hundred two million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 101977 203954 305931 407908 509885 611862 917793 1019770 1223724 1325701 1529655 1835586 2039540 2651402 3059310 3671172 3977103 4588965 5302804 6118620 6628505 7954206 9177930 11931309 13257010 15908412 17234113 18355860 19885515 23862618 26514020 34468226 39771030 47725236 51702339 59656545 68936452 79542060 86170565 103404678 119313090 155107017 172341130 206809356 238626180 258511695 310214034 344682260 517023390 620428068 775535085 1034046780 1551070170 3102140340