Search a number
-
+
3509322740 = 2257117433067
BaseRepresentation
bin1101000100101100…
…0000001111110100
3100001120102001210022
43101023000033310
524141341311430
61340120544312
7152651515430
oct32113001764
910046361708
103509322740
111540a15130
1281b322098
1343c081b41
142541079c0
1515814e4e5
hexd12c03f4

3509322740 has 96 divisors (see below), whose sum is σ = 9203410944. Its totient is φ = 1091986560.

The previous prime is 3509322703. The next prime is 3509322749. The reversal of 3509322740 is 472239053.

It is a super-2 number, since 2×35093227402 = 24630692186962215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3509322740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3509322749) 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, 1142687 + ... + 1145753.

It is an arithmetic number, because the mean of its divisors is an integer number (95868864).

Almost surely, 23509322740 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 3509322740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601705472).

3509322740 is an abundant number, since it is smaller than the sum of its proper divisors (5694088204).

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

3509322740 is a wasteful number, since it uses less digits than its factorization.

3509322740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 3509322740 is about 59239.5369664551. The cubic root of 3509322740 is about 1519.6413540956.

The spelling of 3509322740 in words is "three billion, five hundred nine million, three hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 743 770 1486 1540 2972 3067 3715 5201 6134 7430 8173 10402 12268 14860 15335 16346 20804 21469 26005 30670 32692 33737 40865 42938 52010 57211 61340 67474 81730 85876 104020 107345 114422 134948 163460 168685 214690 228844 236159 286055 337370 429380 472318 572110 674740 944636 1144220 1180795 2278781 2361590 4557562 4723180 9115124 11393905 15951467 22787810 25066591 31902934 45575620 50133182 63805868 79757335 100266364 125332955 159514670 175466137 250665910 319029340 350932274 501331820 701864548 877330685 1754661370 3509322740