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3245299920 = 243254507361
BaseRepresentation
bin1100000101101111…
…0101100011010000
322101011121022120100
43001123311203100
523121244044140
61254010012400
7143264410542
oct30133654320
98334538510
103245299920
111415983955
12766a17100
133c946c815
1422b01b692
1513ed9a530
hexc16f58d0

3245299920 has 60 divisors (see below), whose sum is σ = 10898801316. Its totient is φ = 865413120.

The previous prime is 3245299901. The next prime is 3245299957. The reversal of 3245299920 is 299925423.

3245299920 is a `hidden beast` number, since 32 + 4 + 529 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2130007104 + 1115292816 = 46152^2 + 33396^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252961 + ... + 2254400.

Almost surely, 23245299920 is an apocalyptic number.

3245299920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3245299920 is an abundant number, since it is smaller than the sum of its proper divisors (7653501396).

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

3245299920 is a wasteful number, since it uses less digits than its factorization.

3245299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507380 (or 4507371 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3245299920 is about 56967.5339118695. The cubic root of 3245299920 is about 1480.5336400447.

The spelling of 3245299920 in words is "three billion, two hundred forty-five million, two hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4507361 9014722 13522083 18029444 22536805 27044166 36058888 40566249 45073610 54088332 67610415 72117776 81132498 90147220 108176664 135220830 162264996 180294440 202831245 216353328 270441660 324529992 360588880 405662490 540883320 649059984 811324980 1081766640 1622649960 3245299920