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234430010304 = 2637836320857
BaseRepresentation
bin1101101001010100011…
…1100001001111000000
3211102002211102102120020
43122111013201033000
512320103040312204
6255410132413440
722636252131540
oct3322507411700
9742084372506
10234430010304
119046a6a1576
1239526177280
1319150423b39
14b4bca17320
156170e63bd9
hex36951e13c0

234430010304 has 112 divisors (see below), whose sum is σ = 708990451968. Its totient is φ = 66968782848.

The previous prime is 234430010291. The next prime is 234430010317. The reversal of 234430010304 is 403010034432.

234430010304 is digitally balanced in base 3, 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 (234430010291) and next prime (234430010317).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2344300103042 (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11229444 + ... + 11250300.

Almost surely, 2234430010304 is an apocalyptic number.

234430010304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234430010304 is an abundant number, since it is smaller than the sum of its proper divisors (474560441664).

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

234430010304 is a wasteful number, since it uses less digits than its factorization.

234430010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29242 (or 29232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 234430010304 its reverse (403010034432), we get a palindrome (637440044736).

The spelling of 234430010304 in words is "two hundred thirty-four billion, four hundred thirty million, ten thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 8363 16726 20857 25089 33452 41714 50178 58541 62571 66904 83428 100356 117082 125142 133808 145999 166856 175623 200712 234164 250284 267616 291998 333712 351246 401424 437997 468328 500568 535232 583996 667424 702492 802848 875994 936656 1001136 1167992 1334848 1404984 1605696 1751988 1873312 2002272 2335984 2809968 3503976 3746624 4004544 4671968 5619936 7007952 9343936 11239872 14015904 28031808 174427091 348854182 523281273 697708364 1046562546 1220989637 1395416728 2093125092 2441979274 2790833456 3662968911 4186250184 4883958548 5581666912 7325937822 8372500368 9767917096 11163333824 14651875644 16745000736 19535834192 29303751288 33490001472 39071668384 58607502576 78143336768 117215005152 234430010304