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3400420023 = 327311137703
BaseRepresentation
bin1100101010101110…
…0100101010110111
322202222111020100100
43022223210222313
523431001420043
61321230445143
7150160044000
oct31253445267
98688436310
103400420023
1114954a2990
127aa9637b3
13422642070
1424387a1a7
1514d7dbcd3
hexcaae4ab7

3400420023 has 96 divisors (see below), whose sum is σ = 6730214400. Its totient is φ = 1630359360.

The previous prime is 3400420021. The next prime is 3400420097. The reversal of 3400420023 is 3200240043.

It is not a de Polignac number, because 3400420023 - 21 = 3400420021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3400419978 and 3400420005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400420021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437590 + ... + 445292.

It is an arithmetic number, because the mean of its divisors is an integer number (70106400).

Almost surely, 23400420023 is an apocalyptic number.

3400420023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3400420023 is a deficient number, since it is larger than the sum of its proper divisors (3329794377).

3400420023 is a wasteful number, since it uses less digits than its factorization.

3400420023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7754 (or 7737 counting only the distinct ones).

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

The square root of 3400420023 is about 58313.1205047372. The cubic root of 3400420023 is about 1503.7565138824.

Adding to 3400420023 its reverse (3200240043), we get a palindrome (6600660066).

The spelling of 3400420023 in words is "three billion, four hundred million, four hundred twenty thousand, twenty-three".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 343 429 441 539 637 693 819 1001 1029 1287 1617 1911 3003 3087 3773 4459 4851 5733 7007 7703 9009 11319 13377 21021 23109 33957 40131 49049 53921 63063 69327 84733 100139 147147 161763 254199 300417 377447 441441 485289 593131 700973 762597 901251 1101529 1132341 1779393 2102919 2642129 3304587 3397023 4151917 4906811 5338179 6308757 7710703 7926387 9913761 12455751 14720433 23132109 23779161 29063419 34347677 37367253 44161299 53974921 69396327 87190257 103043031 161924763 261570771 309129093 377824447 485774289 1133473341 3400420023