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245080704 = 27311173413
BaseRepresentation
bin11101001101110…
…10001010000000
3122002011101112010
432212322022000
51000220040304
640152532520
76034103001
oct1646721200
9562141463
10245080704
11116383840
126a0b1140
133ba0c58b
14247991a8
15167b1789
hexe9ba280

245080704 has 128 divisors (see below), whose sum is σ = 752172480. Its totient is φ = 69877760.

The previous prime is 245080691. The next prime is 245080733. The reversal of 245080704 is 407080542.

It is a tau number, because it is divible by the number of its divisors (128).

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, 70102 + ... + 73514.

Almost surely, 2245080704 is an apocalyptic number.

245080704 is a gapful number since it is divisible by the number (24) 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 245080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376086240).

245080704 is an abundant number, since it is smaller than the sum of its proper divisors (507091776).

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

245080704 is a wasteful number, since it uses less digits than its factorization.

245080704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 245080704 is about 15655.0536249481. The cubic root of 245080704 is about 625.8011733020.

The spelling of 245080704 in words is "two hundred forty-five million, eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 3413 4224 4488 5984 6528 6826 8976 10239 11968 13652 17952 20478 23936 27304 35904 37543 40956 54608 58021 71808 75086 81912 109216 112629 116042 150172 163824 174063 218432 225258 232084 300344 327648 348126 436864 450516 464168 600688 638231 655296 696252 901032 928336 1201376 1276462 1310592 1392504 1802064 1856672 1914693 2402752 2552924 2785008 3604128 3713344 3829386 4805504 5105848 5570016 7208256 7426688 7658772 10211696 11140032 14416512 15317544 20423392 22280064 30635088 40846784 61270176 81693568 122540352 245080704