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245346640 = 24571139829
BaseRepresentation
bin11101001111110…
…11000101010000
3122002122220022121
432213323011100
51000302043030
640202344024
76036261220
oct1647730520
9562586277
10245346640
11116545620
126a1bb014
133baa3636
1424828080
151681547a
hexe9fb150

245346640 has 80 divisors (see below), whose sum is σ = 711204480. Its totient is φ = 76469760.

The previous prime is 245346623. The next prime is 245346643. The reversal of 245346640 is 46643542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 245346596 and 245346605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245346643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13755 + ... + 26074.

It is an arithmetic number, because the mean of its divisors is an integer number (8890056).

Almost surely, 2245346640 is an apocalyptic number.

245346640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245346640 is an abundant number, since it is smaller than the sum of its proper divisors (465857840).

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

245346640 is a wasteful number, since it uses less digits than its factorization.

245346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39860 (or 39854 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 245346640 is about 15663.5449372101. The cubic root of 245346640 is about 626.0274428524.

The spelling of 245346640 in words is "two hundred forty-five million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 39829 79658 159316 199145 278803 318632 398290 438119 557606 637264 796580 876238 1115212 1394015 1593160 1752476 2190595 2230424 2788030 3066833 3186320 3504952 4381190 4460848 5576060 6133666 7009904 8762380 11152120 12267332 15334165 17524760 22304240 24534664 30668330 35049520 49069328 61336660 122673320 245346640