Search a number
-
+
4322146428 = 2232294878501
BaseRepresentation
bin1000000011001111…
…01011100001111100
3102011012212210021100
410001213223201330
532322432141203
61552514333100
7212051431665
oct40147534174
912135783240
104322146428
111918814646
12a0758a190
1353b5a48c2
142d005036c
151a46aaea3
hex1019eb87c

4322146428 has 72 divisors (see below), whose sum is σ = 11326704480. Its totient is φ = 1388016000.

The previous prime is 4322146403. The next prime is 4322146441. The reversal of 4322146428 is 8246412234.

4322146428 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 1 + 4 + 642 + 8 = 666.

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 = 4322146392 and 4322146401.

It is a congruent number.

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, 504178 + ... + 512678.

It is an arithmetic number, because the mean of its divisors is an integer number (157315340).

Almost surely, 24322146428 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 4322146428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663352240).

4322146428 is an abundant number, since it is smaller than the sum of its proper divisors (7004558052).

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

4322146428 is a wasteful number, since it uses less digits than its factorization.

4322146428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9027 (or 9022 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4322146428 is about 65743.0333039175. The cubic root of 4322146428 is about 1628.9202614983.

The spelling of 4322146428 in words is "four billion, three hundred twenty-two million, one hundred forty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 487 522 974 1044 1461 1948 2922 4383 5844 8501 8766 14123 17002 17532 25503 28246 34004 42369 51006 56492 76509 84738 102012 127107 153018 169476 246529 254214 306036 493058 508428 739587 986116 1479174 2218761 2958348 4139987 4437522 8279974 8875044 12419961 16559948 24839922 37259883 49679844 74519766 120059623 149039532 240119246 360178869 480238492 720357738 1080536607 1440715476 2161073214 4322146428