Search a number
-
+
234104688 = 243317127251
BaseRepresentation
bin11011111010000…
…10011101110000
3121022111202021000
431331002131300
5434412322223
635121402000
75541566646
oct1575023560
9538452230
10234104688
11110167354
1266499300
13396686ac
142313d196
1515844543
hexdf42770

234104688 has 160 divisors (see below), whose sum is σ = 719953920. Its totient is φ = 72576000.

The previous prime is 234104687. The next prime is 234104693. The reversal of 234104688 is 886401432.

234104688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234104687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932563 + ... + 932813.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2234104688 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 234104688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

234104688 is an abundant number, since it is smaller than the sum of its proper divisors (485849232).

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

234104688 is a wasteful number, since it uses less digits than its factorization.

234104688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 234104688 is about 15300.4799924708. The cubic root of 234104688 is about 616.3158974552.

The spelling of 234104688 in words is "two hundred thirty-four million, one hundred four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 127 136 144 153 204 216 251 254 272 306 381 408 432 459 502 508 612 753 762 816 918 1004 1016 1143 1224 1506 1524 1836 2008 2032 2159 2259 2286 2448 3012 3048 3429 3672 4016 4267 4318 4518 4572 6024 6096 6477 6777 6858 7344 8534 8636 9036 9144 12048 12801 12954 13554 13716 17068 17272 18072 18288 19431 25602 25908 27108 27432 31877 34136 34544 36144 38403 38862 51204 51816 54216 54864 58293 63754 68272 76806 77724 95631 102408 103632 108432 115209 116586 127508 153612 155448 191262 204816 230418 233172 255016 286893 307224 310896 382524 460836 466344 510032 541909 573786 614448 765048 860679 921672 932688 1083818 1147572 1530096 1625727 1721358 1843344 2167636 2295144 3251454 3442716 4335272 4590288 4877181 6502908 6885432 8670544 9754362 13005816 13770864 14631543 19508724 26011632 29263086 39017448 58526172 78034896 117052344 234104688