Search a number
-
+
368000000 = 2105623
BaseRepresentation
bin10101111011110…
…011110000000000
3221122110100002122
4111323303300000
51223202000000
6100303303412
712055643204
oct2573636000
9848410078
10368000000
111797a9935
12a32aab68
135b3191a4
1436c34b04
1522492085
hex15ef3c00

368000000 has 154 divisors (see below), whose sum is σ = 959518968. Its totient is φ = 140800000.

The previous prime is 367999991. The next prime is 368000021. The reversal of 368000000 is 863.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999989 + ... + 16000011.

Almost surely, 2368000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479759484).

368000000 is an abundant number, since it is smaller than the sum of its proper divisors (591518968).

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

368000000 is an frugal number, since it uses more digits than its factorization.

368000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 368000000 is about 19183.3260932509. The cubic root of 368000000 is about 716.6095742032.

Adding to 368000000 its reverse (863), we get a palindrome (368000863).

The spelling of 368000000 in words is "three hundred sixty-eight million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 512 575 625 640 736 800 920 1000 1024 1150 1250 1280 1472 1600 1840 2000 2300 2500 2560 2875 2944 3125 3200 3680 4000 4600 5000 5120 5750 5888 6250 6400 7360 8000 9200 10000 11500 11776 12500 12800 14375 14720 15625 16000 18400 20000 23000 23552 25000 25600 28750 29440 31250 32000 36800 40000 46000 50000 57500 58880 62500 64000 71875 73600 80000 92000 100000 115000 117760 125000 128000 143750 147200 160000 184000 200000 230000 250000 287500 294400 320000 359375 368000 400000 460000 500000 575000 588800 640000 718750 736000 800000 920000 1000000 1150000 1437500 1472000 1600000 1840000 2000000 2300000 2875000 2944000 3200000 3680000 4000000 4600000 5750000 7360000 8000000 9200000 11500000 14720000 16000000 18400000 23000000 36800000 46000000 73600000 92000000 184000000 368000000