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3445433320 = 2357791091429
BaseRepresentation
bin1100110101011101…
…0010001111101000
322220010012010222111
43031113102033220
524024012331240
61325515332104
7151244462050
oct31527221750
98803163874
103445433320
11150894805a
12801a51034
1342ba72754
14249836560
1515272e1ea
hexcd5d23e8

3445433320 has 128 divisors (see below), whose sum is σ = 9060480000. Its totient is φ = 1154829312.

The previous prime is 3445433291. The next prime is 3445433347. The reversal of 3445433320 is 233345443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2410366 + ... + 2411794.

It is an arithmetic number, because the mean of its divisors is an integer number (70785000).

Almost surely, 23445433320 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 3445433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530240000).

3445433320 is an abundant number, since it is smaller than the sum of its proper divisors (5615046680).

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

3445433320 is a wasteful number, since it uses less digits than its factorization.

3445433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 31.

The square root of 3445433320 is about 58697.8135879012. The cubic root of 3445433320 is about 1510.3628091847.

Adding to 3445433320 its reverse (233345443), we get a palindrome (3678778763).

The spelling of 3445433320 in words is "three billion, four hundred forty-five million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 109 140 158 218 280 316 395 436 545 553 632 763 790 872 1090 1106 1429 1526 1580 2180 2212 2765 2858 3052 3160 3815 4360 4424 5530 5716 6104 7145 7630 8611 10003 11060 11432 14290 15260 17222 20006 22120 28580 30520 34444 40012 43055 50015 57160 60277 68888 80024 86110 100030 112891 120554 155761 172220 200060 225782 241108 301385 311522 344440 400120 451564 482216 564455 602770 623044 778805 790237 903128 1090327 1128910 1205540 1246088 1557610 1580474 2180654 2257820 2411080 3115220 3160948 3951185 4361308 4515640 5451635 6230440 6321896 7902370 8722616 10903270 12305119 15804740 21806540 24610238 31609480 43613080 49220476 61525595 86135833 98440952 123051190 172271666 246102380 344543332 430679165 492204760 689086664 861358330 1722716660 3445433320