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245368440 = 2334575731
BaseRepresentation
bin11101010000000…
…00011001111000
3122002201000020000
432220000121320
51000303242230
640203033000
76036411612
oct1650003170
9562630200
10245368440
1111655aa39
126a20b760
133bab0535
1424831db2
151681bb60
hexea00678

245368440 has 80 divisors (see below), whose sum is σ = 824721480. Its totient is φ = 65430720.

The previous prime is 245368421. The next prime is 245368457. The reversal of 245368440 is 44863542.

245368440 is a `hidden beast` number, since 2 + 4 + 536 + 84 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245368395 and 245368404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34626 + ... + 41105.

Almost surely, 2245368440 is an apocalyptic number.

245368440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245368440 is an abundant number, since it is smaller than the sum of its proper divisors (579353040).

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

245368440 is a wasteful number, since it uses less digits than its factorization.

245368440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75754 (or 75741 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 245368440 is about 15664.2408050949. The cubic root of 245368440 is about 626.0459839582.

The spelling of 245368440 in words is "two hundred forty-five million, three hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 75731 151462 227193 302924 378655 454386 605848 681579 757310 908772 1135965 1363158 1514620 1817544 2044737 2271930 2726316 3029240 3407895 4089474 4543860 5452632 6134211 6815790 8178948 9087720 10223685 12268422 13631580 16357896 20447370 24536844 27263160 30671055 40894740 49073688 61342110 81789480 122684220 245368440