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245333840 = 2458934457
BaseRepresentation
bin11101001111101…
…11111101010000
3122002122020202112
432213313331100
51000301140330
640202204452
76036206003
oct1647677520
9562566675
10245333840
11116536a44
126a1b3728
133ba9a86b
142482353a
1516811795
hexe9f7f50

245333840 has 40 divisors (see below), whose sum is σ = 576826920. Its totient is φ = 97028096.

The previous prime is 245333839. The next prime is 245333857. The reversal of 245333840 is 48333542.

It can be written as a sum of positive squares in 4 ways, for example, as 12222016 + 233111824 = 3496^2 + 15268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 245333797 and 245333806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10109 + ... + 24348.

It is an arithmetic number, because the mean of its divisors is an integer number (14420673).

Almost surely, 2245333840 is an apocalyptic number.

245333840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245333840 is an abundant number, since it is smaller than the sum of its proper divisors (331493080).

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

245333840 is a wasteful number, since it uses less digits than its factorization.

245333840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34559 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 245333840 is about 15663.1363398267. The cubic root of 245333840 is about 626.0165558197.

The spelling of 245333840 in words is "two hundred forty-five million, three hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 34457 68914 137828 172285 275656 344570 551312 689140 1378280 2756560 3066673 6133346 12266692 15333365 24533384 30666730 49066768 61333460 122666920 245333840