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3401102340 = 2232522384731
BaseRepresentation
bin1100101010111000…
…1011010000000100
322210000202220022100
43022232023100010
523431140233330
61321253232100
7150165615156
oct31256132004
98700686270
103401102340
111495919589
127ab032630
134228207bc
142439b6ad6
1514d8c4060
hexcab8b404

3401102340 has 72 divisors (see below), whose sum is σ = 10363062528. Its totient is φ = 902882880.

The previous prime is 3401102317. The next prime is 3401102351. The reversal of 3401102340 is 432011043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226 + ... + 82505.

It is an arithmetic number, because the mean of its divisors is an integer number (143931424).

Almost surely, 23401102340 is an apocalyptic number.

3401102340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181531264).

3401102340 is an abundant number, since it is smaller than the sum of its proper divisors (6961960188).

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

3401102340 is a wasteful number, since it uses less digits than its factorization.

3401102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84969 (or 84964 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401102340 is about 58318.9706699287. The cubic root of 3401102340 is about 1503.8570867534.

Adding to 3401102340 its reverse (432011043), we get a palindrome (3833113383).

The spelling of 3401102340 in words is "three billion, four hundred one million, one hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2676 3345 4014 4460 6690 8028 10035 13380 20070 40140 84731 169462 254193 338924 423655 508386 762579 847310 1016772 1270965 1525158 1694620 2541930 3050316 3812895 5083860 7625790 15251580 18895013 37790026 56685039 75580052 94475065 113370078 170055117 188950130 226740156 283425195 340110234 377900260 566850390 680220468 850275585 1133700780 1700551170 3401102340