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3400340300120 = 235477922894831
BaseRepresentation
bin110001011110110100000…
…100110110000101011000
3110001001212120011200110002
4301132310010312011120
5421202344104100440
611122032245312132
7500444413442531
oct61366404660530
913031776150402
103400340300120
1110a10924a8645
1246b013105648
131b885c80935a
14ba81235d688
155d6b5e5c115
hex317b4136158

3400340300120 has 64 divisors (see below), whose sum is σ = 7912453939200. Its totient is φ = 1314346400640.

The previous prime is 3400340300117. The next prime is 3400340300129. The reversal of 3400340300120 is 210030430043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3400340300092 and 3400340300101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400340300129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11298896 + ... + 11595935.

It is an arithmetic number, because the mean of its divisors is an integer number (123632092800).

Almost surely, 23400340300120 is an apocalyptic number.

It is an amenable number.

3400340300120 is an abundant number, since it is smaller than the sum of its proper divisors (4512113639080).

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

3400340300120 is a wasteful number, since it uses less digits than its factorization.

3400340300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22894968 (or 22894964 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3400340300120 its reverse (210030430043), we get a palindrome (3610370730163).

The spelling of 3400340300120 in words is "three trillion, four hundred billion, three hundred forty million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 79 94 158 188 235 316 376 395 470 632 790 940 1580 1880 3160 3713 7426 14852 18565 29704 37130 74260 148520 22894831 45789662 91579324 114474155 183158648 228948310 457896620 915793240 1076057057 1808691649 2152114114 3617383298 4304228228 5380285285 7234766596 8608456456 9043458245 10760570570 14469533192 18086916490 21521141140 36173832980 43042282280 72347665960 85008507503 170017015006 340034030012 425042537515 680068060024 850085075030 1700170150060 3400340300120