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3230613440 = 265591371249
BaseRepresentation
bin1100000010001111…
…0011111111000000
322100010222011111122
43000203303333000
523104014112230
61252323131412
7143025522035
oct30043637700
98303864448
103230613440
11140866276a
12761b13b68
133c63c9ab2
142290b738c
1513d948be5
hexc08f3fc0

3230613440 has 112 divisors (see below), whose sum is σ = 7886700000. Its totient is φ = 1260060672.

The previous prime is 3230613431. The next prime is 3230613457. The reversal of 3230613440 is 443160323.

It is a happy number.

It is a super-4 number, since 4×32306134404 (a number of 39 digits) contains 4444 as substring.

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, 2585936 + ... + 2587184.

Almost surely, 23230613440 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 3230613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943350000).

3230613440 is an abundant number, since it is smaller than the sum of its proper divisors (4656086560).

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

3230613440 is a wasteful number, since it uses less digits than its factorization.

With its successor (3230613441) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1462).

3230613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3230613440 is about 56838.4855533643. The cubic root of 3230613440 is about 1478.2968965253.

Adding to 3230613440 its reverse (443160323), we get a palindrome (3673773763).

The spelling of 3230613440 in words is "three billion, two hundred thirty million, six hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 137 160 236 274 295 320 472 548 590 685 944 1096 1180 1249 1370 1888 2192 2360 2498 2740 3776 4384 4720 4996 5480 6245 8083 8768 9440 9992 10960 12490 16166 18880 19984 21920 24980 32332 39968 40415 43840 49960 64664 73691 79936 80830 99920 129328 147382 161660 171113 199840 258656 294764 323320 342226 368455 399680 517312 589528 646640 684452 736910 855565 1179056 1293280 1368904 1473820 1711130 2358112 2586560 2737808 2947640 3422260 4716224 5475616 5895280 6844520 10095667 10951232 11790560 13689040 20191334 23581120 27378080 40382668 50478335 54756160 80765336 100956670 161530672 201913340 323061344 403826680 646122688 807653360 1615306720 3230613440