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381352300 = 225272223349
BaseRepresentation
bin10110101110101…
…111100101101100
3222120120201000021
4112232233211230
51240111233200
6101501411524
712310304200
oct2656574554
9876521007
10381352300
1118629969a
12a7869ba4
1361012864
143890cb00
152372d41a
hex16baf96c

381352300 has 108 divisors (see below), whose sum is σ = 969729600. Its totient is φ = 129790080.

The previous prime is 381352261. The next prime is 381352373. The reversal of 381352300 is 3253183.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1092526 + ... + 1092874.

Almost surely, 2381352300 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 381352300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484864800).

381352300 is an abundant number, since it is smaller than the sum of its proper divisors (588377300).

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

381352300 is a wasteful number, since it uses less digits than its factorization.

381352300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 381352300 is about 19528.2436486234. The cubic root of 381352300 is about 725.1738306921.

The spelling of 381352300 in words is "three hundred eighty-one million, three hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 223 245 349 350 446 490 698 700 892 980 1115 1225 1396 1561 1745 2230 2443 2450 3122 3490 4460 4886 4900 5575 6244 6980 7805 8725 9772 10927 11150 12215 15610 17101 17450 21854 22300 24430 31220 34202 34900 39025 43708 48860 54635 61075 68404 77827 78050 85505 109270 122150 155654 156100 171010 218540 244300 273175 311308 342020 389135 427525 544789 546350 778270 855050 1089578 1092700 1556540 1710100 1945675 2179156 2723945 3813523 3891350 5447890 7627046 7782700 10895780 13619725 15254092 19067615 27239450 38135230 54478900 76270460 95338075 190676150 381352300