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161944320 = 2835181233
BaseRepresentation
bin10011010011100…
…01001100000000
3102021201121211210
421221301030000
5312424204240
624023010120
74004334606
oct1151611400
9367647753
10161944320
118346018a
1246299940
1327721755
1417717876
15e33d780
hex9a71300

161944320 has 144 divisors (see below), whose sum is σ = 522299232. Its totient is φ = 42762240.

The previous prime is 161944271. The next prime is 161944327. The reversal of 161944320 is 23449161.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161944327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694924 + ... + 695156.

It is an arithmetic number, because the mean of its divisors is an integer number (3627078).

Almost surely, 2161944320 is an apocalyptic number.

161944320 is a gapful number since it is divisible by the number (10) 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 161944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261149616).

161944320 is an abundant number, since it is smaller than the sum of its proper divisors (360354912).

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

161944320 is a wasteful number, since it uses less digits than its factorization.

161944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 161944320 is about 12725.7345564018. The cubic root of 161944320 is about 545.0737155851.

The spelling of 161944320 in words is "one hundred sixty-one million, nine hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 233 240 256 320 362 384 466 480 543 640 699 724 768 905 932 960 1086 1165 1280 1398 1448 1810 1864 1920 2172 2330 2715 2796 2896 3495 3620 3728 3840 4344 4660 5430 5592 5792 6990 7240 7456 8688 9320 10860 11184 11584 13980 14480 14912 17376 18640 21720 22368 23168 27960 28960 29824 34752 37280 42173 43440 44736 46336 55920 57920 59648 69504 74560 84346 86880 89472 111840 115840 126519 139008 149120 168692 173760 178944 210865 223680 231680 253038 298240 337384 347520 421730 447360 506076 632595 674768 695040 843460 894720 1012152 1265190 1349536 1686920 2024304 2530380 2699072 3373840 4048608 5060760 5398144 6747680 8097216 10121520 10796288 13495360 16194432 20243040 26990720 32388864 40486080 53981440 80972160 161944320