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244242840 = 233571109263
BaseRepresentation
bin11101000111011…
…01100110011000
3122000120211012010
432203231212120
51000011232330
640122545520
76024013152
oct1643554630
9560524163
10244242840
11115961296
12699682a0
133b7a80ba
142461bad2
15166983b0
hexe8ed998

244242840 has 128 divisors (see below), whose sum is σ = 752716800. Its totient is φ = 63383040.

The previous prime is 244242827. The next prime is 244242899. The reversal of 244242840 is 48242442.

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 = 244242798 and 244242807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928549 + ... + 928811.

It is an arithmetic number, because the mean of its divisors is an integer number (5880600).

Almost surely, 2244242840 is an apocalyptic number.

244242840 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 244242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376358400).

244242840 is an abundant number, since it is smaller than the sum of its proper divisors (508473960).

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

244242840 is a wasteful number, since it uses less digits than its factorization.

244242840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 244242840 is about 15628.2705377147. The cubic root of 244242840 is about 625.0872112968.

The spelling of 244242840 in words is "two hundred forty-four million, two hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 109 120 142 213 218 263 284 327 355 426 436 526 545 568 654 710 789 852 872 1052 1065 1090 1308 1315 1420 1578 1635 1704 2104 2130 2180 2616 2630 2840 3156 3270 3945 4260 4360 5260 6312 6540 7739 7890 8520 10520 13080 15478 15780 18673 23217 28667 30956 31560 37346 38695 46434 56019 57334 61912 74692 77390 86001 92868 93365 112038 114668 116085 143335 149384 154780 172002 185736 186730 224076 229336 232170 280095 286670 309560 344004 373460 430005 448152 464340 560190 573340 688008 746920 860010 928680 1120380 1146680 1720020 2035357 2240760 3440040 4070714 6106071 8141428 10176785 12212142 16282856 20353570 24424284 30530355 40707140 48848568 61060710 81414280 122121420 244242840