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3385003776 = 28371157241
BaseRepresentation
bin1100100111000011…
…0000111100000000
322201220111000020020
43021300300330000
523413030110101
61315520213440
7146612025450
oct31160607400
98656430206
103385003776
111487823490
127a576a280
1341c3a511b
142417c5d60
1514c294136
hexc9c30f00

3385003776 has 144 divisors (see below), whose sum is σ = 11232254208. Its totient is φ = 879206400.

The previous prime is 3385003763. The next prime is 3385003799. The reversal of 3385003776 is 6773005833.

It is a super-2 number, since 2×33850037762 = 22916501127068516352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30516 + ... + 87756.

Almost surely, 23385003776 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 3385003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616127104).

3385003776 is an abundant number, since it is smaller than the sum of its proper divisors (7847250432).

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

3385003776 is a wasteful number, since it uses less digits than its factorization.

3385003776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57278 (or 57264 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 3385003776 is about 58180.7852817406. The cubic root of 3385003776 is about 1501.4805789986.

The spelling of 3385003776 in words is "three billion, three hundred eighty-five million, three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 57241 59136 114482 171723 228964 343446 400687 457928 629651 686892 801374 915856 1202061 1259302 1373784 1602748 1831712 1888953 2404122 2518604 2747568 3205496 3663424 3777906 4407557 4808244 5037208 5495136 6410992 7326848 7555812 8815114 9616488 10074416 10990272 12821984 13222671 14653696 15111624 17630228 19232976 20148832 21980544 25643968 26445342 30223248 35260456 38465952 40297664 43961088 51287936 52890684 60446496 70520912 76931904 80595328 102575872 105781368 120892992 141041824 153863808 161190656 211562736 241785984 282083648 307727616 423125472 483571968 564167296 846250944 1128334592 1692501888 3385003776