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245041104 = 243711167397
BaseRepresentation
bin11101001101100…
…00011111010000
3122002002101012110
432212300133100
51000212303404
640152025320
76033546360
oct1646603720
9562071173
10245041104
11116357010
126a092240
133b9c7549
14247889a0
15167a4b89
hexe9b07d0

245041104 has 160 divisors (see below), whose sum is σ = 795949056. Its totient is φ = 63106560.

The previous prime is 245041091. The next prime is 245041117. The reversal of 245041104 is 401140542.

It is a happy number.

245041104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245041091) and next prime (245041117).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617034 + ... + 617430.

Almost surely, 2245041104 is an apocalyptic number.

245041104 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 245041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397974528).

245041104 is an abundant number, since it is smaller than the sum of its proper divisors (550907952).

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

245041104 is a wasteful number, since it uses less digits than its factorization.

245041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 245041104 is about 15653.7888065478. The cubic root of 245041104 is about 625.7674659545.

Adding to 245041104 its reverse (401140542), we get a palindrome (646181646).

The spelling of 245041104 in words is "two hundred forty-five million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 167 168 176 231 264 308 334 336 397 462 501 528 616 668 794 924 1002 1169 1191 1232 1336 1588 1837 1848 2004 2338 2382 2672 2779 3176 3507 3674 3696 4008 4367 4676 4764 5511 5558 6352 7014 7348 8016 8337 8734 9352 9528 11022 11116 12859 13101 14028 14696 16674 17468 18704 19056 22044 22232 25718 26202 28056 29392 30569 33348 34936 38577 44088 44464 51436 52404 56112 61138 66299 66696 69872 77154 88176 91707 102872 104808 122276 132598 133392 154308 183414 198897 205744 209616 244552 265196 308616 366828 397794 464093 489104 530392 617232 729289 733656 795588 928186 1060784 1392279 1458578 1467312 1591176 1856372 2187867 2784558 2917156 3182352 3712744 4375734 5105023 5569116 5834312 7425488 8751468 10210046 11138232 11668624 15315069 17502936 20420092 22276464 30630138 35005872 40840184 61260276 81680368 122520552 245041104