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3022041312 = 25351722861
BaseRepresentation
bin1011010000100000…
…1011000011100000
321210121111121100000
42310020023003200
522142120310222
61215512500000
7134613633033
oct26410130340
97717447300
103022041312
111310955404
127040aa600
13392130b34
1420950301a
1512a4999ac
hexb420b0e0

3022041312 has 144 divisors (see below), whose sum is σ = 9436884912. Its totient is φ = 948049920.

The previous prime is 3022041307. The next prime is 3022041313. The reversal of 3022041312 is 2131402203.

3022041312 is a `hidden beast` number, since 30 + 220 + 413 + 1 + 2 = 666.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022041313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120762 + ... + 143622.

It is an arithmetic number, because the mean of its divisors is an integer number (65533923).

Almost surely, 23022041312 is an apocalyptic number.

3022041312 is a gapful number since it is divisible by the number (32) 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 3022041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718442456).

3022041312 is an abundant number, since it is smaller than the sum of its proper divisors (6414843600).

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

3022041312 is a wasteful number, since it uses less digits than its factorization.

3022041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22903 (or 22883 counting only the distinct ones).

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

The square root of 3022041312 is about 54973.0962562598. The cubic root of 3022041312 is about 1445.7730743568.

Adding to 3022041312 its reverse (2131402203), we get a palindrome (5153443515).

The spelling of 3022041312 in words is "three billion, twenty-two million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 1224 1296 1377 1632 1836 1944 2448 2592 2754 3672 3888 4131 4896 5508 7344 7776 8262 11016 14688 16524 22032 22861 33048 44064 45722 66096 68583 91444 132192 137166 182888 205749 274332 365776 388637 411498 548664 617247 731552 777274 822996 1097328 1165911 1234494 1554548 1645992 1851741 2194656 2331822 2468988 3109096 3291984 3497733 3703482 4663644 4937976 5555223 6218192 6583968 6995466 7406964 9327288 9875952 10493199 11110446 12436384 13990932 14813928 18654576 19751904 20986398 22220892 27981864 29627856 31479597 37309152 41972796 44441784 55963728 59255712 62959194 83945592 88883568 94438791 111927456 125918388 167891184 177767136 188877582 251836776 335782368 377755164 503673552 755510328 1007347104 1511020656 3022041312