Search a number
-
+
244402920 = 23345241313
BaseRepresentation
bin11101001000101…
…00101011101000
3122000212221210000
432210110223220
51000031343140
640130223000
76025250646
oct1644245350
9560787700
10244402920
11115a60593
1269a24a60
133b832c18
1424660196
15166caa30
hexe914ae8

244402920 has 160 divisors (see below), whose sum is σ = 827509320. Its totient is φ = 64696320.

The previous prime is 244402913. The next prime is 244402933. The reversal of 244402920 is 29204442.

It can be written as a sum of positive squares in 4 ways, for example, as 146748996 + 97653924 = 12114^2 + 9882^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 780684 + ... + 780996.

Almost surely, 2244402920 is an apocalyptic number.

244402920 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 244402920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413754660).

244402920 is an abundant number, since it is smaller than the sum of its proper divisors (583106400).

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

244402920 is a wasteful number, since it uses less digits than its factorization.

244402920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 244402920 is about 15633.3911868155. The cubic root of 244402920 is about 625.2237449582.

The spelling of 244402920 in words is "two hundred forty-four million, four hundred two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 241 270 313 324 360 405 482 540 626 648 723 810 939 964 1080 1205 1252 1446 1565 1620 1878 1928 2169 2410 2504 2817 2892 3130 3240 3615 3756 4338 4695 4820 5634 5784 6260 6507 7230 7512 8451 8676 9390 9640 10845 11268 12520 13014 14085 14460 16902 17352 18780 19521 21690 22536 25353 26028 28170 28920 32535 33804 37560 39042 42255 43380 50706 52056 56340 65070 67608 75433 78084 84510 86760 97605 101412 112680 126765 130140 150866 156168 169020 195210 202824 226299 253530 260280 301732 338040 377165 390420 452598 507060 603464 678897 754330 780840 905196 1014120 1131495 1357794 1508660 1810392 2036691 2262990 2715588 3017320 3394485 4073382 4525980 5431176 6110073 6788970 8146764 9051960 10183455 12220146 13577940 16293528 20366910 24440292 27155880 30550365 40733820 48880584 61100730 81467640 122201460 244402920