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230377008 = 24353137661
BaseRepresentation
bin11011011101101…
…00011000110000
3121001111100211210
431232310120300
5432434031013
634505440120
75465113041
oct1556643060
9531440753
10230377008
11109050724
12651a0040
1338961a74
142284c8c8
1515359cc3
hexdbb4630

230377008 has 80 divisors (see below), whose sum is σ = 611719776. Its totient is φ = 74680320.

The previous prime is 230377003. The next prime is 230377019. The reversal of 230377008 is 800773032.

230377008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230377003) 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, 348198 + ... + 348858.

Almost surely, 2230377008 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 230377008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305859888).

230377008 is an abundant number, since it is smaller than the sum of its proper divisors (381342768).

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

230377008 is a wasteful number, since it uses less digits than its factorization.

230377008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 230377008 is about 15178.1753844130. The cubic root of 230377008 is about 613.0271528910.

The spelling of 230377008 in words is "two hundred thirty million, three hundred seventy-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 137 159 212 274 318 411 424 548 636 661 822 848 1096 1272 1322 1644 1983 2192 2544 2644 3288 3966 5288 6576 7261 7932 10576 14522 15864 21783 29044 31728 35033 43566 58088 70066 87132 90557 105099 116176 140132 174264 181114 210198 271671 280264 348528 362228 420396 543342 560528 724456 840792 1086684 1448912 1681584 2173368 4346736 4799521 9599042 14398563 19198084 28797126 38396168 57594252 76792336 115188504 230377008