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3245413440 = 263515792141
BaseRepresentation
bin1100000101110001…
…0001010001000000
322101011211002021210
43001130101101000
523121311212230
61254012250120
7143265362523
oct30134212100
98334732253
103245413440
111415a51175
12766a70940
133c94ac3a9
1422b04abba
1513edbdeb0
hexc1711440

3245413440 has 112 divisors (see below), whose sum is σ = 10315529280. Its totient is φ = 864491520.

The previous prime is 3245413421. The next prime is 3245413477. The reversal of 3245413440 is 443145423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3245413398 and 3245413407.

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, 1514770 + ... + 1516910.

It is an arithmetic number, because the mean of its divisors is an integer number (92102940).

Almost surely, 23245413440 is an apocalyptic number.

3245413440 is a gapful number since it is divisible by the number (30) 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 3245413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157764640).

3245413440 is an abundant number, since it is smaller than the sum of its proper divisors (7070115840).

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

3245413440 is a wasteful number, since it uses less digits than its factorization.

3245413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3245413440 is about 56968.5302601357. The cubic root of 3245413440 is about 1480.5509027758.

Adding to 3245413440 its reverse (443145423), we get a palindrome (3688558863).

The spelling of 3245413440 in words is "three billion, two hundred forty-five million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1579 2141 3158 4282 4737 6316 6423 7895 8564 9474 10705 12632 12846 15790 17128 18948 21410 23685 25264 25692 31580 32115 34256 37896 42820 47370 50528 51384 63160 64230 68512 75792 85640 94740 101056 102768 126320 128460 137024 151584 171280 189480 205536 252640 256920 303168 342560 378960 411072 505280 513840 685120 757920 1027680 1515840 2055360 3380639 6761278 10141917 13522556 16903195 20283834 27045112 33806390 40567668 50709585 54090224 67612780 81135336 101419170 108180448 135225560 162270672 202838340 216360896 270451120 324541344 405676680 540902240 649082688 811353360 1081804480 1622706720 3245413440