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304334003102040 = 2334593930247871
BaseRepresentation
bin100010100110010100100100…
…0001001011110000101011000
31110220120001020221101212120000
41011030221020021132011120
5304342202014243231130
62555133035543533000
7121050256206141042
oct10514511011360530
91426501227355500
10304334003102040
1188a7436486420a
122a171b75a5a160
13100a775b860872
145521bb6c42a92
15252b65c28b260
hex114ca4825e158

304334003102040 has 80 divisors (see below), whose sum is σ = 1022900399326080. Its totient is φ = 81155734159680.

The previous prime is 304334003101867. The next prime is 304334003102137. The reversal of 304334003102040 is 40201300433403.

304334003102040 is a `hidden beast` number, since 3 + 0 + 4 + 3 + 340 + 0 + 310 + 2 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×3043340031020402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 304334003101995 and 304334003102013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46965120696 + ... + 46965127175.

It is an arithmetic number, because the mean of its divisors is an integer number (12786254991576).

Almost surely, 2304334003102040 is an apocalyptic number.

304334003102040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304334003102040 is an abundant number, since it is smaller than the sum of its proper divisors (718566396224040).

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

304334003102040 is a wasteful number, since it uses less digits than its factorization.

304334003102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93930247894 (or 93930247881 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 304334003102040 its reverse (40201300433403), we get a palindrome (344535303535443).

The spelling of 304334003102040 in words is "three hundred four trillion, three hundred thirty-four billion, three million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 93930247871 187860495742 281790743613 375720991484 469651239355 563581487226 751441982968 845372230839 939302478710 1127162974452 1408953718065 1690744461678 1878604957420 2254325948904 2536116692517 2817907436130 3381488923356 3757209914840 4226861154195 5072233385034 5635814872260 6762977846712 7608350077551 8453722308390 10144466770068 11271629744520 12680583462585 15216700155102 16907444616780 20288933540136 25361166925170 30433400310204 33814889233560 38041750387755 50722333850340 60866800620408 76083500775510 101444667700680 152167001551020 304334003102040