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3434140500 = 223537246723
BaseRepresentation
bin1100110010110000…
…1101001101010100
322212022221102010220
43030230031031110
524013114444000
61324433314340
7151046466300
oct31454151524
98768842126
103434140500
11150253464a
127ba1059b0
1342961a5cb
14248136d00
1515174d1a0
hexccb0d354

3434140500 has 144 divisors (see below), whose sum is σ = 11633154624. Its totient is φ = 784929600.

The previous prime is 3434140499. The next prime is 3434140513. The reversal of 3434140500 is 50414343.

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, 50139 + ... + 96861.

It is an arithmetic number, because the mean of its divisors is an integer number (80785796).

Almost surely, 23434140500 is an apocalyptic number.

3434140500 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 3434140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816577312).

3434140500 is an abundant number, since it is smaller than the sum of its proper divisors (8199014124).

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

3434140500 is a wasteful number, since it uses less digits than its factorization.

3434140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46759 (or 46740 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3434140500 is about 58601.5400821514. The cubic root of 3434140500 is about 1508.7108714458.

Adding to 3434140500 its reverse (50414343), we get a palindrome (3484554843).

The spelling of 3434140500 in words is "three billion, four hundred thirty-four million, one hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 125 140 147 150 175 196 210 245 250 294 300 350 375 420 490 500 525 588 700 735 750 875 980 1050 1225 1470 1500 1750 2100 2450 2625 2940 3500 3675 4900 5250 6125 7350 10500 12250 14700 18375 24500 36750 46723 73500 93446 140169 186892 233615 280338 327061 467230 560676 654122 700845 934460 981183 1168075 1308244 1401690 1635305 1962366 2289427 2336150 2803380 3270610 3504225 3924732 4578854 4672300 4905915 5840375 6541220 6868281 7008450 8176525 9157708 9811830 11447135 11680750 13736562 14016900 16353050 17521125 19623660 22894270 23361500 24529575 27473124 32706100 34341405 35042250 40882625 45788540 49059150 57235675 68682810 70084500 81765250 98118300 114471350 122647875 137365620 163530500 171707025 228942700 245295750 286178375 343414050 490591500 572356750 686828100 858535125 1144713500 1717070250 3434140500