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202434030 = 23253137253
BaseRepresentation
bin11000001000011…
…10010111101110
3112002220201021200
430010032113232
5403310342110
632030510330
75005442451
oct1404162756
9462821250
10202434030
11a42a5757
12579653a6
1332c2a166
141cc57498
1512b8a6c0
hexc10e5ee

202434030 has 144 divisors (see below), whose sum is σ = 568923264. Its totient is φ = 49870080.

The previous prime is 202433983. The next prime is 202434031. The reversal of 202434030 is 30434202.

202434030 is a `hidden beast` number, since 20 + 243 + 403 + 0 = 666.

202434030 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 202433994 and 202434012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202434031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3819484 + ... + 3819536.

It is an arithmetic number, because the mean of its divisors is an integer number (3950856).

Almost surely, 2202434030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202434030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284461632).

202434030 is an abundant number, since it is smaller than the sum of its proper divisors (366489234).

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

202434030 is a wasteful number, since it uses less digits than its factorization.

202434030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 202434030 is about 14227.9313324179. The cubic root of 202434030 is about 587.1663704052.

Adding to 202434030 its reverse (30434202), we get a palindrome (232868232).

The spelling of 202434030 in words is "two hundred two million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 37 45 53 62 74 90 93 106 111 155 159 185 186 222 265 279 310 318 333 370 465 477 530 555 558 666 795 930 954 1110 1147 1369 1395 1590 1643 1665 1961 2294 2385 2738 2790 3286 3330 3441 3922 4107 4770 4929 5735 5883 6845 6882 8214 8215 9805 9858 10323 11470 11766 12321 13690 14787 16430 17205 17649 19610 20535 20646 24642 24645 29415 29574 34410 35298 41070 42439 49290 51615 58830 60791 61605 72557 73935 84878 88245 103230 121582 123210 127317 145114 147870 176490 182373 212195 217671 254634 303955 362785 364746 381951 424390 435342 547119 607910 636585 653013 725570 763902 911865 1088355 1094238 1273170 1306026 1823730 1909755 2176710 2249267 2735595 3265065 3819510 4498534 5471190 6530130 6747801 11246335 13495602 20243403 22492670 33739005 40486806 67478010 101217015 202434030