Search a number
-
+
3376714590 = 23251711319531
BaseRepresentation
bin1100100101000100…
…1001001101011110
322201022212212121100
43021101021031132
523403414331330
61315022413530
7146451412644
oct31121111536
98638785540
103376714590
111483081717
127a2a312a6
1341a762192
14240669194
1514b6a8060
hexc944935e

3376714590 has 96 divisors (see below), whose sum is σ = 9378641376. Its totient is φ = 839946240.

The previous prime is 3376714589. The next prime is 3376714591. The reversal of 3376714590 is 954176733.

It is an interprime number because it is at equal distance from previous prime (3376714589) and next prime (3376714591).

It is a super-2 number, since 2×33767145902 = 22804402844637736200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3376714591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163125 + ... + 182655.

It is an arithmetic number, because the mean of its divisors is an integer number (97694181).

Almost surely, 23376714590 is an apocalyptic number.

3376714590 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 3376714590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689320688).

3376714590 is an abundant number, since it is smaller than the sum of its proper divisors (6001926786).

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

3376714590 is a wasteful number, since it uses less digits than its factorization.

3376714590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19674 (or 19671 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3376714590 is about 58109.5051605157. The cubic root of 3376714590 is about 1500.2539703303.

The spelling of 3376714590 in words is "three billion, three hundred seventy-six million, seven hundred fourteen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 113 153 170 226 255 306 339 510 565 678 765 1017 1130 1530 1695 1921 2034 3390 3842 5085 5763 9605 10170 11526 17289 19210 19531 28815 34578 39062 57630 58593 86445 97655 117186 172890 175779 195310 292965 332027 351558 585930 664054 878895 996081 1660135 1757790 1992162 2207003 2988243 3320270 4414006 4980405 5976486 6621009 9960810 11035015 13242018 14941215 19863027 22070030 29882430 33105045 37519051 39726054 66210090 75038102 99315135 112557153 187595255 198630270 225114306 337671459 375190510 562785765 675342918 1125571530 1688357295 3376714590