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2352906240 = 215354787
BaseRepresentation
bin1000110000111110…
…1000000000000000
320001222102000120120
42030033220000000
514304320444430
61025250540240
7112210241646
oct21417500000
96058360516
102352906240
11aa8177313
12557b97680
132b660a319
141846c1196
15db872610
hex8c3e8000

2352906240 has 128 divisors (see below), whose sum is σ = 7530757920. Its totient is φ = 627310592.

The previous prime is 2352906239. The next prime is 2352906251. The reversal of 2352906240 is 426092532.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489127 + ... + 493913.

Almost surely, 22352906240 is an apocalyptic number.

2352906240 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 2352906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765378960).

2352906240 is an abundant number, since it is smaller than the sum of its proper divisors (5177851680).

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

2352906240 is an frugal number, since it uses more digits than its factorization.

2352906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2352906240 is about 48506.7648890338. The cubic root of 2352906240 is about 1330.0507339269.

Adding to 2352906240 its reverse (426092532), we get a palindrome (2778998772).

The spelling of 2352906240 in words is "two billion, three hundred fifty-two million, nine hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 4787 5120 6144 7680 8192 9574 10240 12288 14361 15360 16384 19148 20480 23935 24576 28722 30720 32768 38296 40960 47870 49152 57444 61440 71805 76592 81920 95740 98304 114888 122880 143610 153184 163840 191480 229776 245760 287220 306368 382960 459552 491520 574440 612736 765920 919104 1148880 1225472 1531840 1838208 2297760 2450944 3063680 3676416 4595520 4901888 6127360 7352832 9191040 9803776 12254720 14705664 18382080 19607552 24509440 29411328 36764160 39215104 49018880 58822656 73528320 78430208 98037760 117645312 147056640 156860416 196075520 235290624 294113280 392151040 470581248 588226560 784302080 1176453120 2352906240