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3320334240 = 253538318061
BaseRepresentation
bin1100010111101000…
…0100011110100000
322120101210110022020
43011322010132200
523300001143430
61305250141440
7145165242516
oct30572043640
98511713266
103320334240
111454273293
12787b81880
1340bb81922
14236d904b6
1514676cb10
hexc5e847a0

3320334240 has 96 divisors (see below), whose sum is σ = 10486941696. Its totient is φ = 883061760.

The previous prime is 3320334239. The next prime is 3320334293. The reversal of 3320334240 is 424330233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33203342402 = 22049238930632755200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3320334240.

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, 174810 + ... + 192870.

It is an arithmetic number, because the mean of its divisors is an integer number (109238976).

Almost surely, 23320334240 is an apocalyptic number.

3320334240 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 3320334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243470848).

3320334240 is an abundant number, since it is smaller than the sum of its proper divisors (7166607456).

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

3320334240 is a wasteful number, since it uses less digits than its factorization.

3320334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18462 (or 18454 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3320334240 is about 57622.3415004979. The cubic root of 3320334240 is about 1491.8572459114.

Adding to 3320334240 its reverse (424330233), we get a palindrome (3744664473).

The spelling of 3320334240 in words is "three billion, three hundred twenty million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 383 480 766 1149 1532 1915 2298 3064 3830 4596 5745 6128 7660 9192 11490 12256 15320 18061 18384 22980 30640 36122 36768 45960 54183 61280 72244 90305 91920 108366 144488 180610 183840 216732 270915 288976 361220 433464 541830 577952 722440 866928 1083660 1444880 1733856 2167320 2889760 4334640 6917363 8669280 13834726 20752089 27669452 34586815 41504178 55338904 69173630 83008356 103760445 110677808 138347260 166016712 207520890 221355616 276694520 332033424 415041780 553389040 664066848 830083560 1106778080 1660167120 3320334240