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3243920 = 245234143
BaseRepresentation
bin1100010111111110010000
320002210211012
430113332100
51312301140
6153310052
736400331
oct14277620
96083735
103243920
111916229
121105328
138976a4
14606288
15441265
hex317f90

3243920 has 80 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 1182720.

The previous prime is 3243917. The next prime is 3243931. The reversal of 3243920 is 293423.

3243920 = T11 + T12 + ... + T268.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 75419 + ... + 75461.

Almost surely, 23243920 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 3243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

3243920 is an abundant number, since it is smaller than the sum of its proper divisors (5005552).

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

3243920 is a wasteful number, since it uses less digits than its factorization.

3243920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3243920 is about 1801.0885597327. The cubic root of 3243920 is about 148.0323766518.

The spelling of 3243920 in words is "three million, two hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 43 46 80 82 86 92 115 164 172 184 205 215 230 328 344 368 410 430 460 656 688 820 860 920 943 989 1640 1720 1763 1840 1886 1978 3280 3440 3526 3772 3956 4715 4945 7052 7544 7912 8815 9430 9890 14104 15088 15824 17630 18860 19780 28208 35260 37720 39560 40549 70520 75440 79120 81098 141040 162196 202745 324392 405490 648784 810980 1621960 3243920