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3145213032 = 2331321940813
BaseRepresentation
bin1011101101111000…
…0010010001101000
322010012021101011120
42323132002101220
522420133304112
61240032455240
7140640604203
oct27336022150
98105241146
103145213032
111374433115
127393aa520
133b17c8600
1421ba0693a
151361c9e8c
hexbb782468

3145213032 has 96 divisors (see below), whose sum is σ = 8962754400. Its totient is φ = 916800768.

The previous prime is 3145213021. The next prime is 3145213063. The reversal of 3145213032 is 2303125413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3145212993 and 3145213011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56658 + ... + 97470.

It is an arithmetic number, because the mean of its divisors is an integer number (93362025).

Almost surely, 23145213032 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 3145213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481377200).

3145213032 is an abundant number, since it is smaller than the sum of its proper divisors (5817541368).

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

3145213032 is a wasteful number, since it uses less digits than its factorization.

3145213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40867 (or 40850 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3145213032 is about 56082.1988869909. The cubic root of 3145213032 is about 1465.1542712432.

Adding to 3145213032 its reverse (2303125413), we get a palindrome (5448338445).

The spelling of 3145213032 in words is "three billion, one hundred forty-five million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 312 338 456 494 507 676 741 988 1014 1352 1482 1976 2028 2964 3211 4056 5928 6422 9633 12844 19266 25688 38532 40813 77064 81626 122439 163252 244878 326504 489756 530569 775447 979512 1061138 1550894 1591707 2122276 2326341 3101788 3183414 4244552 4652682 6203576 6366828 6897397 9305364 10080811 12733656 13794794 18610728 20161622 20692191 27589588 30242433 40323244 41384382 55179176 60484866 80646488 82768764 120969732 131050543 165537528 241939464 262101086 393151629 524202172 786303258 1048404344 1572606516 3145213032