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245347840 = 295239401
BaseRepresentation
bin11101001111110…
…11011000000000
3122002122221222001
432213323120000
51000302112330
640202353344
76036264553
oct1647733000
9562587861
10245347840
11116546511
126a1bb854
133baa404a
142482869a
15168159ca
hexe9fb600

245347840 has 80 divisors (see below), whose sum is σ = 592194240. Its totient is φ = 97484800.

The previous prime is 245347829. The next prime is 245347847. The reversal of 245347840 is 48743542.

245347840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 245347840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245347847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611640 + ... + 612040.

It is an arithmetic number, because the mean of its divisors is an integer number (7402428).

Almost surely, 2245347840 is an apocalyptic number.

245347840 is a gapful number since it is divisible by the number (20) 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 245347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296097120).

245347840 is an abundant number, since it is smaller than the sum of its proper divisors (346846400).

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

245347840 is an equidigital number, since it uses as much as digits as its factorization.

245347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The square root of 245347840 is about 15663.5832426683. The cubic root of 245347840 is about 626.0284634923.

The spelling of 245347840 in words is "two hundred forty-five million, three hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 320 401 478 512 640 802 956 1195 1280 1604 1912 2005 2390 2560 3208 3824 4010 4780 6416 7648 8020 9560 12832 15296 16040 19120 25664 30592 32080 38240 51328 61184 64160 76480 95839 102656 122368 128320 152960 191678 205312 256640 305920 383356 479195 513280 611840 766712 958390 1026560 1533424 1916780 3066848 3833560 6133696 7667120 12267392 15334240 24534784 30668480 49069568 61336960 122673920 245347840