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3420472300 = 225275239343
BaseRepresentation
bin1100101111100000…
…0100001111101100
322211101012222220021
43023320010033230
524001120103200
61323224331524
7150522351310
oct31370041754
98741188807
103420472300
1114a5849513
127b5613ba4
1342684320b
142463b9b40
1515044d41a
hexcbe043ec

3420472300 has 72 divisors (see below), whose sum is σ = 8499900416. Its totient is φ = 1170365760.

The previous prime is 3420472261. The next prime is 3420472333. The reversal of 3420472300 is 32740243.

3420472300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361429 + ... + 370771.

Almost surely, 23420472300 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 3420472300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249950208).

3420472300 is an abundant number, since it is smaller than the sum of its proper divisors (5079428116).

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

3420472300 is a wasteful number, since it uses less digits than its factorization.

3420472300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9887 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 3420472300 is about 58484.8040092467. The cubic root of 3420472300 is about 1506.7066066326.

The spelling of 3420472300 in words is "three billion, four hundred twenty million, four hundred seventy-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 523 700 1046 2092 2615 3661 5230 7322 9343 10460 13075 14644 18305 18686 26150 36610 37372 46715 52300 65401 73220 91525 93430 130802 183050 186860 233575 261604 327005 366100 467150 654010 934300 1308020 1635025 3270050 4886389 6540100 9772778 19545556 24431945 34204723 48863890 68409446 97727780 122159725 136818892 171023615 244319450 342047230 488638900 684094460 855118075 1710236150 3420472300