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3483714030 = 2351929732887
BaseRepresentation
bin1100111110100101…
…0100000111101110
322222210020000020120
43033221110013232
524113312322110
61333404025410
7152221036446
oct31751240756
98883200216
103483714030
111528513a05
12812832266
13436986864
1425095d126
15155c91870
hexcfa541ee

3483714030 has 128 divisors (see below), whose sum is σ = 9232358400. Its totient is φ = 837817344.

The previous prime is 3483714029. The next prime is 3483714061. The reversal of 3483714030 is 304173843.

It is a junction number, because it is equal to n+sod(n) for n = 3483713982 and 3483714000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205247 + ... + 1208133.

It is an arithmetic number, because the mean of its divisors is an integer number (72127800).

Almost surely, 23483714030 is an apocalyptic number.

3483714030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483714030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616179200).

3483714030 is an abundant number, since it is smaller than the sum of its proper divisors (5748644370).

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

3483714030 is a wasteful number, since it uses less digits than its factorization.

3483714030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3483714030 is about 59022.9957728342. The cubic root of 3483714030 is about 1515.9358811351.

Adding to 3483714030 its reverse (304173843), we get a palindrome (3787887873).

The spelling of 3483714030 in words is "three billion, four hundred eighty-three million, seven hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 73 87 95 114 145 146 174 190 219 285 290 365 435 438 551 570 730 870 1095 1102 1387 1653 2117 2190 2755 2774 2887 3306 4161 4234 5510 5774 6351 6935 8265 8322 8661 10585 12702 13870 14435 16530 17322 20805 21170 28870 31755 40223 41610 43305 54853 63510 80446 83723 86610 109706 120669 164559 167446 201115 210751 241338 251169 274265 329118 402230 418615 421502 502338 548530 603345 632253 822795 837230 1053755 1206690 1255845 1264506 1590737 1645590 2107510 2511690 3161265 3181474 4004269 4772211 6111779 6322530 7953685 8008538 9544422 12012807 12223558 15907370 18335337 20021345 23861055 24025614 30558895 36670674 40042690 47722110 60064035 61117790 91676685 116123801 120128070 183353370 232247602 348371403 580619005 696742806 1161238010 1741857015 3483714030