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234242034440 = 23523809314723
BaseRepresentation
bin1101101000100111101…
…0011100101100001000
3211101121201201021011012
43122021322130230020
512314211430100230
6255335335423052
722631510304131
oct3321172345410
9741551637135
10234242034440
1190383581517
1239493224a88
13191204b980b
14b4a1a84c88
15615e6d2395
hex3689e9cb08

234242034440 has 64 divisors (see below), whose sum is σ = 550641110400. Its totient is φ = 89511972352.

The previous prime is 234242034359. The next prime is 234242034443. The reversal of 234242034440 is 44430242432.

It is a super-2 number, since 2×2342420344402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234242034397 and 234242034406.

It is not an unprimeable number, because it can be changed into a prime (234242034443) 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, 586919 + ... + 901641.

It is an arithmetic number, because the mean of its divisors is an integer number (8603767350).

Almost surely, 2234242034440 is an apocalyptic number.

234242034440 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 234242034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275320555200).

234242034440 is an abundant number, since it is smaller than the sum of its proper divisors (316399075960).

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

234242034440 is a wasteful number, since it uses less digits than its factorization.

234242034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315566 (or 315562 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 234242034440 its reverse (44430242432), we get a palindrome (278672276872).

The spelling of 234242034440 in words is "two hundred thirty-four billion, two hundred forty-two million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 809 920 1618 3236 4045 6472 8090 16180 18607 32360 37214 74428 93035 148856 186070 314723 372140 629446 744280 1258892 1573615 2517784 3147230 6294460 7238629 12588920 14477258 28954516 36193145 57909032 72386290 144772580 254610907 289545160 509221814 1018443628 1273054535 2036887256 2546109070 5092218140 5856050861 10184436280 11712101722 23424203444 29280254305 46848406888 58560508610 117121017220 234242034440