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3352427424 = 253220295737
BaseRepresentation
bin1100011111010001…
…1111101110100000
322122122011221212200
43013310133232200
523331210134144
61312354053200
7146035106613
oct30764375640
98578157780
103352427424
1114703a3385
1279687a200
1341570a588
1423b34617a
151494abc69
hexc7d1fba0

3352427424 has 72 divisors (see below), whose sum is σ = 9539826660. Its totient is φ = 1116730368.

The previous prime is 3352427423. The next prime is 3352427453. The reversal of 3352427424 is 4247242533.

It can be written as a sum of positive squares in 2 ways, for example, as 3352410000 + 17424 = 57900^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33524274242 = 22477539266374551552, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3352427423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 581484 + ... + 587220.

Almost surely, 23352427424 is an apocalyptic number.

It is an amenable number.

3352427424 is an abundant number, since it is smaller than the sum of its proper divisors (6187399236).

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

3352427424 is a wasteful number, since it uses less digits than its factorization.

3352427424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7771 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 3352427424 is about 57900.1504661257. The cubic root of 3352427424 is about 1496.6484315702.

Adding to 3352427424 its reverse (4247242533), we get a palindrome (7599669957).

The spelling of 3352427424 in words is "three billion, three hundred fifty-two million, four hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2029 4058 5737 6087 8116 11474 12174 16232 17211 18261 22948 24348 32464 34422 36522 45896 48696 51633 64928 68844 73044 91792 97392 103266 137688 146088 183584 194784 206532 275376 292176 413064 550752 584352 826128 1652256 11640373 23280746 34921119 46561492 69842238 93122984 104763357 139684476 186245968 209526714 279368952 372491936 419053428 558737904 838106856 1117475808 1676213712 3352427424