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3402414432 = 253211813939
BaseRepresentation
bin1100101011001100…
…1011100101100000
322210010020120011100
43022303023211200
523432004230212
61321341314400
7150213021414
oct31263134540
98703216140
103402414432
11149663535a
127ab565a00
13422b8caa1
14243c38d44
1514da82bdc
hexcaccb960

3402414432 has 36 divisors (see below), whose sum is σ = 9675616860. Its totient is φ = 1134138048.

The previous prime is 3402414427. The next prime is 3402414467. The reversal of 3402414432 is 2344142043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 3402414396 and 3402414405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5906682 + ... + 5907257.

It is an arithmetic number, because the mean of its divisors is an integer number (268767135).

Almost surely, 23402414432 is an apocalyptic number.

3402414432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3402414432 is an abundant number, since it is smaller than the sum of its proper divisors (6273202428).

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

3402414432 is a wasteful number, since it uses less digits than its factorization.

3402414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813955 (or 11813944 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3402414432 is about 58330.2188578099. The cubic root of 3402414432 is about 1504.0504500581.

Adding to 3402414432 its reverse (2344142043), we get a palindrome (5746556475).

The spelling of 3402414432 in words is "three billion, four hundred two million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11813939 23627878 35441817 47255756 70883634 94511512 106325451 141767268 189023024 212650902 283534536 378046048 425301804 567069072 850603608 1134138144 1701207216 3402414432