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361000000 = 2656192
BaseRepresentation
bin10101100001000…
…110110001000000
3221011021200220101
4111201012301000
51214404000000
655453252144
711642310064
oct2541066100
9834250811
10361000000
11175858709
12a0a94054
1359a37c8a
1435d31aa4
1521a5ce6a
hex15846c40

361000000 has 147 divisors (see below), whose sum is σ = 945046497. Its totient is φ = 136800000.

The previous prime is 360999983. The next prime is 361000001. The reversal of 361000000 is 163.

The square root of 361000000 is 19000.

It is a perfect power (a square), and thus also a powerful number.

361000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 316270656 + 44729344 = 17784^2 + 6688^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361000001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18999991 + ... + 19000009.

Almost surely, 2361000000 is an apocalyptic number.

361000000 is the 19000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361000000

361000000 is an abundant number, since it is smaller than the sum of its proper divisors (584046497).

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

361000000 is an frugal number, since it uses more digits than its factorization.

361000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The cubic root of 361000000 is about 712.0367358902.

Adding to 361000000 its reverse (163), we get a palindrome (361000163).

The spelling of 361000000 in words is "three hundred sixty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 361 380 400 475 500 608 625 722 760 800 950 1000 1216 1250 1444 1520 1600 1805 1900 2000 2375 2500 2888 3040 3125 3610 3800 4000 4750 5000 5776 6080 6250 7220 7600 8000 9025 9500 10000 11552 11875 12500 14440 15200 15625 18050 19000 20000 23104 23750 25000 28880 30400 31250 36100 38000 40000 45125 47500 50000 57760 59375 62500 72200 76000 90250 95000 100000 115520 118750 125000 144400 152000 180500 190000 200000 225625 237500 250000 288800 296875 361000 380000 451250 475000 500000 577600 593750 722000 760000 902500 950000 1000000 1128125 1187500 1444000 1805000 1900000 2256250 2375000 2888000 3610000 3800000 4512500 4750000 5640625 7220000 9025000 9500000 11281250 14440000 18050000 19000000 22562500 36100000 45125000 72200000 90250000 180500000 361000000