Search a number
-
+
202434002304 = 2734711216423
BaseRepresentation
bin1011110010001000000…
…0011011110110000000
3201100111222021210221220
42330202000123312000
511304041101033204
6232555155115040
720424334425432
oct2744200336600
9640458253856
10202434002304
1178940798156
12332968a2a80
1316121681721
149b25472652
1553ebeb51d9
hex2f2201bd80

202434002304 has 64 divisors (see below), whose sum is σ = 549156119040. Its totient is φ = 66042292736.

The previous prime is 202434002293. The next prime is 202434002327. The reversal of 202434002304 is 403200434202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5590164 + ... + 5626259.

It is an arithmetic number, because the mean of its divisors is an integer number (8580564360).

Almost surely, 2202434002304 is an apocalyptic number.

202434002304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202434002304 is an abundant number, since it is smaller than the sum of its proper divisors (346722116736).

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

202434002304 is a wasteful number, since it uses less digits than its factorization.

202434002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216487 (or 11216475 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 202434002304 its reverse (403200434202), we get a palindrome (605634436506).

The spelling of 202434002304 in words is "two hundred two billion, four hundred thirty-four million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 11216423 22432846 33649269 44865692 67298538 89731384 134597076 179462768 269194152 358925536 527171881 538388304 717851072 1054343762 1076776608 1435702144 1581515643 2108687524 2153553216 3163031286 4217375048 4307106432 6326062572 8434750096 12652125144 16869500192 25304250288 33739000384 50608500576 67478000768 101217001152 202434002304