Search a number
-
+
3403219428 = 223371947712
BaseRepresentation
bin1100101011011001…
…0000000111100100
322210011202110102000
43022312100013210
523432211010203
61321410445300
7150222613350
oct31266200744
98704673360
103403219428
111497035144
127ab893830
134230b230b
14243da8460
1514db914a3
hexcad901e4

3403219428 has 288 divisors, whose sum is σ = 10994995200. Its totient is φ = 888874560.

The previous prime is 3403219399. The next prime is 3403219439. The reversal of 3403219428 is 8249123043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3403219392 and 3403219401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47932633 + ... + 47932703.

Almost surely, 23403219428 is an apocalyptic number.

3403219428 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403219428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497497600).

3403219428 is an abundant number, since it is smaller than the sum of its proper divisors (7591775772).

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

3403219428 is a wasteful number, since it uses less digits than its factorization.

3403219428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3403219428 is about 58337.1187838412. The cubic root of 3403219428 is about 1504.1690579023.

The spelling of 3403219428 in words is "three billion, four hundred three million, two hundred nineteen thousand, four hundred twenty-eight".