Search a number
-
+
234157840 = 24572571627
BaseRepresentation
bin11011111010011…
…11011100010000
3121022121110011121
431331033130100
5434421022330
635122452024
75542210630
oct1575173420
9538543147
10234157840
111101a3284
1266504014
1339686947
14231546c0
151585517a
hexdf4f710

234157840 has 80 divisors (see below), whose sum is σ = 624995712. Its totient is φ = 79921152.

The previous prime is 234157823. The next prime is 234157841. The reversal of 234157840 is 48751432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 234157796 and 234157805.

It is not an unprimeable number, because it can be changed into a prime (234157841) 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, 143107 + ... + 144733.

Almost surely, 2234157840 is an apocalyptic number.

234157840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312497856).

234157840 is an abundant number, since it is smaller than the sum of its proper divisors (390837872).

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

234157840 is a wasteful number, since it uses less digits than its factorization.

234157840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 234157840 is about 15302.2168328644. The cubic root of 234157840 is about 616.3625374777.

The spelling of 234157840 in words is "two hundred thirty-four million, one hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 257 280 514 560 1028 1285 1627 1799 2056 2570 3254 3598 4112 5140 6508 7196 8135 8995 10280 11389 13016 14392 16270 17990 20560 22778 26032 28784 32540 35980 45556 56945 65080 71960 91112 113890 130160 143920 182224 227780 418139 455560 836278 911120 1672556 2090695 2926973 3345112 4181390 5853946 6690224 8362780 11707892 14634865 16725560 23415784 29269730 33451120 46831568 58539460 117078920 234157840