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244820640 = 25353116453
BaseRepresentation
bin11101001011110…
…10101010100000
3122001200011210010
432211322222200
51000133230030
640143204520
76031640541
oct1645725240
9561604703
10244820640
11116216409
1269ba6740
133b94b0ac
142472c4c8
151675e6b0
hexe97aaa0

244820640 has 96 divisors (see below), whose sum is σ = 796110336. Its totient is φ = 63175680.

The previous prime is 244820617. The next prime is 244820657. The reversal of 244820640 is 46028442.

244820640 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244820598 and 244820607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6654 + ... + 23106.

It is an arithmetic number, because the mean of its divisors is an integer number (8292816).

Almost surely, 2244820640 is an apocalyptic number.

244820640 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 244820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398055168).

244820640 is an abundant number, since it is smaller than the sum of its proper divisors (551289696).

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

244820640 is a wasteful number, since it uses less digits than its factorization.

244820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16502 (or 16494 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 244820640 is about 15646.7453484742. The cubic root of 244820640 is about 625.5797415400.

The spelling of 244820640 in words is "two hundred forty-four million, eight hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 16453 32906 49359 65812 82265 98718 131624 164530 197436 246795 263248 329060 394872 493590 510043 526496 658120 789744 987180 1020086 1316240 1530129 1579488 1974360 2040172 2550215 2632480 3060258 3948720 4080344 5100430 6120516 7650645 7897440 8160688 10200860 12241032 15301290 16321376 20401720 24482064 30602580 40803440 48964128 61205160 81606880 122410320 244820640