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234045834 = 231117297193
BaseRepresentation
bin11011111001101…
…00000110001010
3121022101202112020
431330310012022
5434403431314
635120225310
75541233241
oct1574640612
9538352466
10234045834
11110127110
126646b236
1339647979
1423125958
1515831da9
hexdf3418a

234045834 has 64 divisors (see below), whose sum is σ = 559405440. Its totient is φ = 64440320.

The previous prime is 234045829. The next prime is 234045839. The reversal of 234045834 is 438540432.

234045834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234045829) and next prime (234045839).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 234045795 and 234045804.

It is not an unprimeable number, because it can be changed into a prime (234045839) 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, 28942 + ... + 36134.

It is an arithmetic number, because the mean of its divisors is an integer number (8740710).

Almost surely, 2234045834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234045834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279702720).

234045834 is an abundant number, since it is smaller than the sum of its proper divisors (325359606).

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

234045834 is a wasteful number, since it uses less digits than its factorization.

234045834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255.

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 234045834 is about 15298.5565985814. The cubic root of 234045834 is about 616.2642457829.

The spelling of 234045834 in words is "two hundred thirty-four million, forty-five thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 319 374 493 561 638 957 986 1122 1479 1914 2958 5423 7193 10846 14386 16269 21579 32538 43158 79123 122281 158246 208597 237369 244562 366843 417194 474738 625791 733686 1251582 1345091 2294567 2690182 3546149 4035273 4589134 6883701 7092298 8070546 10638447 13767402 21276894 39007639 78015278 117022917 234045834