Search a number
-
+
342448975872 = 212329289523
BaseRepresentation
bin1001111101110111000…
…11001011000000000000
31012201220212011102120200
410332323203023000000
521102313414211442
6421152514005200
733512130160443
oct4767343130000
91181825142520
10342448975872
11122260579143
1256451576800
13263a6387003
1412808a7b65a
158d9419334c
hex4fbb8cb000

342448975872 has 78 divisors (see below), whose sum is σ = 989176384092. Its totient is φ = 114149646336.

The previous prime is 342448975859. The next prime is 342448975873. The reversal of 342448975872 is 278579844243.

It is a happy number.

342448975872 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 48 + 9 + 7 + 587 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (342448975873) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4607898 + ... + 4681625.

It is an arithmetic number, because the mean of its divisors is an integer number (12681748514).

Almost surely, 2342448975872 is an apocalyptic number.

342448975872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342448975872 is an abundant number, since it is smaller than the sum of its proper divisors (646727408220).

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

342448975872 is an equidigital number, since it uses as much as digits as its factorization.

342448975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289553 (or 9289528 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 342448975872 in words is "three hundred forty-two billion, four hundred forty-eight million, nine hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 9289523 18579046 27868569 37158092 55737138 74316184 83605707 111474276 148632368 167211414 222948552 297264736 334422828 445897104 594529472 668845656 891794208 1189058944 1337691312 1783588416 2378117888 2675382624 3567176832 4756235776 5350765248 7134353664 9512471552 10701530496 14268707328 19024943104 21403060992 28537414656 38049886208 42806121984 57074829312 85612243968 114149658624 171224487936 342448975872