Search a number
-
+
30801834 = 2327376607
BaseRepresentation
bin111010101111…
…1111110101010
32010221220011200
41311133332222
530341124314
63020105030
7522545160
oct165377652
963856150
1030801834
1116428968
12a395176
1364c5c4b
14413b230
152a86709
hex1d5ffaa

30801834 has 48 divisors (see below), whose sum is σ = 78344448. Its totient is φ = 8561376.

The previous prime is 30801829. The next prime is 30801877. The reversal of 30801834 is 43810803.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30801798 and 30801807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359 + ... + 7965.

It is an arithmetic number, because the mean of its divisors is an integer number (1632176).

Almost surely, 230801834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30801834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172224).

30801834 is an abundant number, since it is smaller than the sum of its proper divisors (47542614).

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

30801834 is a wasteful number, since it uses less digits than its factorization.

30801834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30801834 is about 5549.9399996757. The cubic root of 30801834 is about 313.4672630514.

The spelling of 30801834 in words is "thirty million, eight hundred one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 6607 13214 19821 39642 46249 59463 92498 118926 138747 244459 277494 416241 488918 733377 832482 1466754 1711213 2200131 3422426 4400262 5133639 10267278 15400917 30801834