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3244434432 = 21035319927
BaseRepresentation
bin1100000101100010…
…0010010000000000
322101002222100100020
43001120202100000
523121033400212
61253535253440
7143254144341
oct30130422000
98332870306
103244434432
111415442678
1276667a280
133c92288b5
1422ac740c8
1513ec78d8c
hexc1622400

3244434432 has 88 divisors (see below), whose sum is σ = 8811205056. Its totient is φ = 1061019648.

The previous prime is 3244434383. The next prime is 3244434437. The reversal of 3244434432 is 2344344423.

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 = 3244434393 and 3244434402.

It is not an unprimeable number, because it can be changed into a prime (3244434437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152853 + ... + 172779.

Almost surely, 23244434432 is an apocalyptic number.

3244434432 is a gapful number since it is divisible by the number (32) 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 3244434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405602528).

3244434432 is an abundant number, since it is smaller than the sum of its proper divisors (5566770624).

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

3244434432 is a wasteful number, since it uses less digits than its factorization.

3244434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20003 (or 19985 counting only the distinct ones).

The product of its digits is 110592, while the sum is 33.

The square root of 3244434432 is about 56959.9370786169. The cubic root of 3244434432 is about 1480.4020139949.

Adding to 3244434432 its reverse (2344344423), we get a palindrome (5588778855).

Subtracting from 3244434432 its reverse (2344344423), we obtain a palindrome (900090009).

The spelling of 3244434432 in words is "three billion, two hundred forty-four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2544 3072 3392 5088 6784 10176 13568 19927 20352 27136 39854 40704 54272 59781 79708 81408 119562 159416 162816 239124 318832 478248 637664 956496 1056131 1275328 1912992 2112262 2550656 3168393 3825984 4224524 5101312 6336786 7651968 8449048 10202624 12673572 15303936 16898096 20405248 25347144 30607872 33796192 50694288 61215744 67592384 101388576 135184768 202777152 270369536 405554304 540739072 811108608 1081478144 1622217216 3244434432