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3402414444 = 22311132968371
BaseRepresentation
bin1100101011001100…
…1011100101101100
322210010020120011210
43022303023211230
523432004230234
61321341314420
7150213021432
oct31263134554
98703216153
103402414444
111496635370
127ab565a10
13422b8cab0
14243c38d52
1514da82be9
hexcaccb96c

3402414444 has 96 divisors (see below), whose sum is σ = 9648656640. Its totient is φ = 918892800.

The previous prime is 3402414427. The next prime is 3402414467. The reversal of 3402414444 is 4444142043.

It is an unprimeable number.

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, 15579 + ... + 83949.

It is an arithmetic number, because the mean of its divisors is an integer number (100506840).

Almost surely, 23402414444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402414444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824328320).

3402414444 is an abundant number, since it is smaller than the sum of its proper divisors (6246242196).

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

3402414444 is a wasteful number, since it uses less digits than its factorization.

3402414444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68431 (or 68429 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 3402414444 is about 58330.2189606725. The cubic root of 3402414444 is about 1504.0504518263.

Adding to 3402414444 its reverse (4444142043), we get a palindrome (7846556487).

The spelling of 3402414444 in words is "three billion, four hundred two million, four hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 286 319 348 377 429 572 638 754 858 957 1131 1276 1508 1716 1914 2262 3828 4147 4524 8294 12441 16588 24882 49764 68371 136742 205113 273484 410226 752081 820452 888823 1504162 1777646 1982759 2256243 2666469 3008324 3555292 3965518 4512486 5332938 5948277 7931036 9024972 9777053 10665876 11896554 19554106 21810349 23793108 25775867 29331159 39108212 43620698 51551734 58662318 65431047 77327601 87241396 103103468 117324636 130862094 154655202 261724188 283534537 309310404 567069074 850603611 1134138148 1701207222 3402414444