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3451221340 = 2257178317471
BaseRepresentation
bin1100110110110101…
…0111010101011100
322220112002012122121
43031231113111130
524032003040330
61330243352324
7151344616540
oct31555272534
98815065577
103451221340
111511140746
128039826a4
1343001b108
1424a501a20
15152ec417a
hexcdb5755c

3451221340 has 96 divisors (see below), whose sum is σ = 8876335104. Its totient is φ = 1100190720.

The previous prime is 3451221281. The next prime is 3451221353. The reversal of 3451221340 is 431221543.

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 31 ways as a sum of consecutive naturals, for example, 188805 + ... + 206275.

It is an arithmetic number, because the mean of its divisors is an integer number (92461824).

Almost surely, 23451221340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3451221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438167552).

3451221340 is an abundant number, since it is smaller than the sum of its proper divisors (5425113764).

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

3451221340 is a wasteful number, since it uses less digits than its factorization.

3451221340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17587 (or 17585 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3451221340 is about 58747.0964388879. The cubic root of 3451221340 is about 1511.2080941976.

Adding to 3451221340 its reverse (431221543), we get a palindrome (3882442883).

The spelling of 3451221340 in words is "three billion, four hundred fifty-one million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 83 85 119 140 166 170 238 332 340 415 476 581 595 830 1162 1190 1411 1660 2324 2380 2822 2905 5644 5810 7055 9877 11620 14110 17471 19754 28220 34942 39508 49385 69884 87355 98770 122297 174710 197540 244594 297007 349420 489188 594014 611485 1188028 1222970 1450093 1485035 2079049 2445940 2900186 2970070 4158098 5800372 5940140 7250465 8316196 10150651 10395245 14500930 20301302 20790490 24651581 29001860 40602604 41580980 49303162 50753255 98606324 101506510 123257905 172561067 203013020 246515810 345122134 493031620 690244268 862805335 1725610670 3451221340