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234053416 = 231737193241
BaseRepresentation
bin11011111001101…
…01111100101000
3121022102010221001
431330311330220
5434404202131
635120324344
75541264322
oct1574657450
9538363831
10234053416
11110131883
12664736b4
133964b25c
1423128612
1515834261
hexdf35f28

234053416 has 64 divisors (see below), whose sum is σ = 481686480. Its totient is φ = 106168320.

The previous prime is 234053383. The next prime is 234053437. The reversal of 234053416 is 614350432.

234053416 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 8 ways, for example, as 196280100 + 37773316 = 14010^2 + 6146^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971056 + ... + 971296.

Almost surely, 2234053416 is an apocalyptic number.

It is an amenable number.

234053416 is an abundant number, since it is smaller than the sum of its proper divisors (247633064).

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

234053416 is a wasteful number, since it uses less digits than its factorization.

234053416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 234053416 is about 15298.8043977299. The cubic root of 234053416 is about 616.2709004126.

The spelling of 234053416 in words is "two hundred thirty-four million, fifty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 17 34 37 68 74 136 148 193 241 296 386 482 629 772 964 1258 1544 1928 2516 3281 4097 5032 6562 7141 8194 8917 13124 14282 16388 17834 26248 28564 32776 35668 46513 57128 71336 93026 121397 151589 186052 242794 303178 372104 485588 606356 790721 971176 1212712 1581442 1720981 3162884 3441962 6325768 6883924 13767848 29256677 58513354 117026708 234053416