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234630816 = 25372311609
BaseRepresentation
bin11011111110000…
…10111010100000
3121100111110222020
431333002322200
5440031141231
635140541440
75546220600
oct1577027240
9540443866
10234630816
11110496672
12666b1880
13397c1004
1423238c00
15158ea396
hexdfc2ea0

234630816 has 144 divisors (see below), whose sum is σ = 740033280. Its totient is φ = 64834560.

The previous prime is 234630811. The next prime is 234630817. The reversal of 234630816 is 618036432.

It is not an unprimeable number, because it can be changed into a prime (234630811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145020 + ... + 146628.

It is an arithmetic number, because the mean of its divisors is an integer number (5139120).

Almost surely, 2234630816 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 234630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370016640).

234630816 is an abundant number, since it is smaller than the sum of its proper divisors (505402464).

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

234630816 is a wasteful number, since it uses less digits than its factorization.

234630816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 234630816 is about 15317.6635294029. The cubic root of 234630816 is about 616.7772557772. Note that the first 3 decimals are identical.

The spelling of 234630816 in words is "two hundred thirty-four million, six hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1609 1736 2352 2604 2976 3038 3218 3472 4557 4704 4827 5208 6076 6436 6944 9114 9654 10416 11263 12152 12872 18228 19308 20832 22526 24304 25744 33789 36456 38616 45052 48608 49879 51488 67578 72912 77232 78841 90104 99758 135156 145824 149637 154464 157682 180208 199516 236523 270312 299274 315364 349153 360416 399032 473046 540624 598548 630728 698306 798064 946092 1047459 1081248 1197096 1261456 1396612 1596128 1892184 2094918 2394192 2444071 2522912 2793224 3784368 4189836 4788384 4888142 5586448 7332213 7568736 8379672 9776284 11172896 14664426 16759344 19552568 29328852 33518688 39105136 58657704 78210272 117315408 234630816