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3400134300 = 2233521774077
BaseRepresentation
bin1100101010101001…
…1110111010011100
322202221221201102000
43022222132322130
523430413244200
61321220402300
7150154443663
oct31252367234
98687851360
103400134300
111495318252
127aa846390
13422571cb4
14243803dda
1514d782300
hexcaa9ee9c

3400134300 has 144 divisors (see below), whose sum is σ = 11573946720. Its totient is φ = 853355520.

The previous prime is 3400134299. The next prime is 3400134323. The reversal of 3400134300 is 34310043.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8862 + ... + 82938.

It is an arithmetic number, because the mean of its divisors is an integer number (80374630).

Almost surely, 23400134300 is an apocalyptic number.

3400134300 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 3400134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786973360).

3400134300 is an abundant number, since it is smaller than the sum of its proper divisors (8173812420).

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

3400134300 is a wasteful number, since it uses less digits than its factorization.

3400134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74117 (or 74104 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3400134300 is about 58310.6705500803. The cubic root of 3400134300 is about 1503.7143945898.

Adding to 3400134300 its reverse (34310043), we get a palindrome (3434444343).

The spelling of 3400134300 in words is "three billion, four hundred million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 45900 74077 148154 222231 296308 370385 444462 666693 740770 888924 1111155 1259309 1333386 1481540 1851925 2000079 2222310 2518618 2666772 3333465 3703850 3777927 4000158 4444620 5037236 5555775 6296545 6666930 7407700 7555854 8000316 10000395 11111550 11333781 12593090 13333860 15111708 16667325 18889635 20000790 22223100 22667562 25186180 31482725 33334650 34001343 37779270 40001580 45335124 50001975 56668905 62965450 66669300 68002686 75558540 94448175 100003950 113337810 125930900 136005372 170006715 188896350 200007900 226675620 283344525 340013430 377792700 566689050 680026860 850033575 1133378100 1700067150 3400134300