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3224113440 = 253512752889
BaseRepresentation
bin1100000000101100…
…0001000100100000
322022200201221011220
43000023001010200
523100333112230
61251531535040
7142616340432
oct30013010440
98280657156
103224113440
111404a23169
1275b8ba480
133c4c62342
142282a4652
1513d0b2d10
hexc02c1120

3224113440 has 96 divisors (see below), whose sum is σ = 10236119040. Its totient is φ = 852977664.

The previous prime is 3224113423. The next prime is 3224113447. The reversal of 3224113440 is 443114223.

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

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 3224113440.

It is not an unprimeable number, because it can be changed into a prime (3224113447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34516 + ... + 87404.

It is an arithmetic number, because the mean of its divisors is an integer number (106626240).

Almost surely, 23224113440 is an apocalyptic number.

3224113440 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 3224113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118059520).

3224113440 is an abundant number, since it is smaller than the sum of its proper divisors (7012005600).

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

3224113440 is a wasteful number, since it uses less digits than its factorization.

3224113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53034 (or 53026 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3224113440 is about 56781.2771959208. The cubic root of 3224113440 is about 1477.3047855208.

Adding to 3224113440 its reverse (443114223), we get a palindrome (3667227663).

The spelling of 3224113440 in words is "three billion, two hundred twenty-four million, one 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 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 52889 60960 105778 158667 211556 264445 317334 423112 528890 634668 793335 846224 1057780 1269336 1586670 1692448 2115560 2538672 3173340 4231120 5077344 6346680 6716903 8462240 12693360 13433806 20150709 25386720 26867612 33584515 40301418 53735224 67169030 80602836 100753545 107470448 134338060 161205672 201507090 214940896 268676120 322411344 403014180 537352240 644822688 806028360 1074704480 1612056720 3224113440