Search a number
-
+
3430734060 = 22351313931643
BaseRepresentation
bin1100110001111100…
…1101100011101100
322212002112100101110
43030133031203230
524011231442220
61324232312020
7151005521055
oct31437154354
98762470343
103430734060
111500618306
127b8b42610
134289c6c70
142478cb72c
151512c8be0
hexcc7cd8ec

3430734060 has 96 divisors (see below), whose sum is σ = 10419736320. Its totient is φ = 838386432.

The previous prime is 3430734053. The next prime is 3430734067. The reversal of 3430734060 is 604370343.

It is an interprime number because it is at equal distance from previous prime (3430734053) and next prime (3430734067).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3430734067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92599 + ... + 124241.

It is an arithmetic number, because the mean of its divisors is an integer number (108538920).

Almost surely, 23430734060 is an apocalyptic number.

3430734060 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 3430734060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209868160).

3430734060 is an abundant number, since it is smaller than the sum of its proper divisors (6989002260).

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

3430734060 is a wasteful number, since it uses less digits than its factorization.

3430734060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31807 (or 31805 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 3430734060 is about 58572.4684472150. The cubic root of 3430734060 is about 1508.2118593164.

The spelling of 3430734060 in words is "three billion, four hundred thirty million, seven hundred thirty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 278 390 417 556 695 780 834 1390 1668 1807 2085 2780 3614 4170 5421 7228 8340 9035 10842 18070 21684 27105 31643 36140 54210 63286 94929 108420 126572 158215 189858 316430 379716 411359 474645 632860 822718 949290 1234077 1645436 1898580 2056795 2468154 4113590 4398377 4936308 6170385 8227180 8796754 12340770 13195131 17593508 21991885 24681540 26390262 43983770 52780524 57178901 65975655 87967540 114357802 131951310 171536703 228715604 263902620 285894505 343073406 571789010 686146812 857683515 1143578020 1715367030 3430734060