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3224342430 = 233537322757
BaseRepresentation
bin1100000000101111…
…1000111110011110
322022201011120022000
43000023320332132
523100412424210
61251540503130
7142621313151
oct30013707636
98281146260
103224342430
11140506a211
1275b9aaaa6
133c501263a
14228323c98
1513d10aac0
hexc02f8f9e

3224342430 has 64 divisors (see below), whose sum is σ = 8830658880. Its totient is φ = 836583552.

The previous prime is 3224342369. The next prime is 3224342437. The reversal of 3224342430 is 342434223.

3224342430 is a `hidden beast` number, since 3 + 224 + 3 + 4 + 2 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3224342394 and 3224342403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224342437) 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 31 ways as a sum of consecutive naturals, for example, 151389 + ... + 171368.

It is an arithmetic number, because the mean of its divisors is an integer number (137979045).

Almost surely, 23224342430 is an apocalyptic number.

3224342430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3224342430 is an abundant number, since it is smaller than the sum of its proper divisors (5606316450).

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

3224342430 is a wasteful number, since it uses less digits than its factorization.

3224342430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322810 (or 322804 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3224342430 is about 56783.2935818274. The cubic root of 3224342430 is about 1477.3397594778.

Adding to 3224342430 its reverse (342434223), we get a palindrome (3566776653).

The spelling of 3224342430 in words is "three billion, two hundred twenty-four million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 322757 645514 968271 1613785 1936542 2904813 3227570 4841355 5809626 8714439 9682710 11942009 14524065 17428878 23884018 29048130 35826027 43572195 59710045 71652054 87144390 107478081 119420090 179130135 214956162 322434243 358260270 537390405 644868486 1074780810 1612171215 3224342430