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3441123432 = 233337430571
BaseRepresentation
bin1100110100011011…
…0110000001101000
322212211002011221000
43031012312001220
524021411422212
61325243115000
7151163031555
oct31506660150
98784064830
103441123432
111506473a6a
12800512a60
1342abc3b16
14249033a2c
1515217c1dc
hexcd1b6068

3441123432 has 64 divisors (see below), whose sum is σ = 9817041600. Its totient is φ = 1116037440.

The previous prime is 3441123431. The next prime is 3441123467. The reversal of 3441123432 is 2343211443.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3441123396 and 3441123405.

It is not an unprimeable number, because it can be changed into a prime (3441123431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207294 + ... + 223277.

It is an arithmetic number, because the mean of its divisors is an integer number (153391275).

Almost surely, 23441123432 is an apocalyptic number.

It is an amenable number.

3441123432 is an abundant number, since it is smaller than the sum of its proper divisors (6375918168).

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

3441123432 is a wasteful number, since it uses less digits than its factorization.

3441123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430623 (or 430613 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3441123432 is about 58661.0895909716. The cubic root of 3441123432 is about 1509.7327761265.

Adding to 3441123432 its reverse (2343211443), we get a palindrome (5784334875).

It can be divided in two parts, 3441123 and 432, that multiplied together give a square (1486565136 = 385562).

The spelling of 3441123432 in words is "three billion, four hundred forty-one million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 430571 861142 1291713 1722284 2583426 3444568 3875139 5166852 7750278 10333704 11625417 15500556 15931127 23250834 31001112 31862254 46501668 47793381 63724508 93003336 95586762 127449016 143380143 191173524 286760286 382347048 430140429 573520572 860280858 1147041144 1720561716 3441123432