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3328024224 = 253729170773
BaseRepresentation
bin1100011001011101…
…1001111010100000
322120221021010222110
43012113121322200
523303433233344
61310123035320
7145320511350
oct30627317240
98527233873
103328024224
111458645948
1278a66bb40
13410644c05
14237dd2b60
1514728b3b9
hexc65d9ea0

3328024224 has 96 divisors (see below), whose sum is σ = 10328411520. Its totient is φ = 918070272.

The previous prime is 3328024171. The next prime is 3328024247. The reversal of 3328024224 is 4224208233.

It is a happy number.

3328024224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×33280242242 = 22151490471061604352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3328024191 and 3328024200.

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, 65899 + ... + 104874.

It is an arithmetic number, because the mean of its divisors is an integer number (107587620).

Almost surely, 23328024224 is an apocalyptic number.

It is an amenable number.

3328024224 is an abundant number, since it is smaller than the sum of its proper divisors (7000387296).

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

3328024224 is a wasteful number, since it uses less digits than its factorization.

3328024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170822 (or 170814 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 3328024224 is about 57689.0303610660. The cubic root of 3328024224 is about 1493.0080851680.

The spelling of 3328024224 in words is "three billion, three hundred twenty-eight million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 170773 341546 512319 683092 1024638 1195411 1366184 2049276 2390822 2732368 3586233 4098552 4781644 4952417 5464736 7172466 8197104 9563288 9904834 14344932 14857251 16394208 19126576 19809668 28689864 29714502 34666919 38253152 39619336 57379728 59429004 69333838 79238672 104000757 114759456 118858008 138667676 158477344 208001514 237716016 277335352 416003028 475432032 554670704 832006056 1109341408 1664012112 3328024224