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3385119424 = 26172296311
BaseRepresentation
bin1100100111000100…
…1101001011000000
322201220200212212111
43021301031023000
523413042310144
61315522505104
7146613016561
oct31161151300
98656625774
103385119424
1114878a2365
127a5805194
1341c41595b
14241816168
1514c2b8534
hexc9c4d2c0

3385119424 has 84 divisors (see below), whose sum is σ = 7382957040. Its totient is φ = 1537822720.

The previous prime is 3385119391. The next prime is 3385119473. The reversal of 3385119424 is 4249115833.

It is a happy number.

It is a super-2 number, since 2×33851194242 = 22918067029484183552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533229 + ... + 539539.

Almost surely, 23385119424 is an apocalyptic number.

3385119424 is a gapful number since it is divisible by the number (34) 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 3385119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691478520).

3385119424 is an abundant number, since it is smaller than the sum of its proper divisors (3997837616).

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

3385119424 is a wasteful number, since it uses less digits than its factorization.

3385119424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6359 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 3385119424 is about 58181.7791408960. The cubic root of 3385119424 is about 1501.4976780685.

The spelling of 3385119424 in words is "three billion, three hundred eighty-five million, one hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 289 464 493 544 578 928 986 1088 1156 1856 1972 2312 3944 4624 6311 7888 8381 9248 12622 15776 16762 18496 25244 31552 33524 50488 67048 100976 107287 134096 183019 201952 214574 268192 366038 403904 429148 536384 732076 858296 1464152 1716592 1823879 2928304 3111323 3433184 3647758 5856608 6222646 6866368 7295516 11713216 12445292 14591032 24890584 29182064 49781168 52892491 58364128 99562336 105784982 116728256 199124672 211569964 423139928 846279856 1692559712 3385119424