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3245145400 = 2352710972113
BaseRepresentation
bin1100000101101100…
…1111110100111000
322101011022110121101
43001123033310320
523121224123100
61254002421144
7143263165210
oct30133176470
98334273541
103245145400
111415888852
127669617b4
133c94173a3
1422adbb240
1513ed6986a
hexc16cfd38

3245145400 has 96 divisors (see below), whose sum is σ = 8634759840. Its totient is φ = 1111080960.

The previous prime is 3245145389. The next prime is 3245145401. The reversal of 3245145400 is 45415423.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245145401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534744 + ... + 1536856.

It is an arithmetic number, because the mean of its divisors is an integer number (89945415).

Almost surely, 23245145400 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 3245145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317379920).

3245145400 is an abundant number, since it is smaller than the sum of its proper divisors (5389614440).

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

3245145400 is a wasteful number, since it uses less digits than its factorization.

3245145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 3245145400 is about 56966.1776846578. The cubic root of 3245145400 is about 1480.5101418889.

The spelling of 3245145400 in words is "three billion, two hundred forty-five million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1097 1400 2113 2194 4226 4388 5485 7679 8452 8776 10565 10970 14791 15358 16904 21130 21940 27425 29582 30716 38395 42260 43880 52825 54850 59164 61432 73955 76790 84520 105650 109700 118328 147910 153580 191975 211300 219400 295820 307160 369775 383950 422600 591640 739550 767900 1479100 1535800 2317961 2958200 4635922 9271844 11589805 16225727 18543688 23179610 32451454 46359220 57949025 64902908 81128635 92718440 115898050 129805816 162257270 231796100 324514540 405643175 463592200 649029080 811286350 1622572700 3245145400