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3344345130 = 2357236111351
BaseRepresentation
bin1100011101010110…
…1010100000101010
322122001222100001110
43013111222200222
523322123021010
61311504531150
7145606315230
oct30725524052
98561870043
103344345130
111466882aa5
12794020ab6
13413b3a859
1423a240950
15148912120
hexc756a82a

3344345130 has 128 divisors (see below), whose sum is σ = 9729662976. Its totient is φ = 719136000.

The previous prime is 3344345129. The next prime is 3344345161. The reversal of 3344345130 is 315434433.

It is a super-2 number, since 2×33443451302 = 22369288697109433800, which contains 22 as substring.

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

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, 288955 + ... + 300305.

It is an arithmetic number, because the mean of its divisors is an integer number (76012992).

Almost surely, 23344345130 is an apocalyptic number.

3344345130 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 3344345130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864831488).

3344345130 is an abundant number, since it is smaller than the sum of its proper divisors (6385317846).

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

3344345130 is a wasteful number, since it uses less digits than its factorization.

3344345130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11452.

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3344345130 is about 57830.3132448718. The cubic root of 3344345130 is about 1495.4447180524. Note that the first 3 decimals are identical.

Adding to 3344345130 its reverse (315434433), we get a palindrome (3659779563).

The spelling of 3344345130 in words is "three billion, three hundred forty-four million, three hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 61 69 70 105 115 122 138 161 183 210 230 305 322 345 366 427 483 610 690 805 854 915 966 1281 1403 1610 1830 2135 2415 2562 2806 4209 4270 4830 6405 7015 8418 9821 11351 12810 14030 19642 21045 22702 29463 34053 42090 49105 56755 58926 68106 79457 98210 113510 147315 158914 170265 238371 261073 294630 340530 397285 476742 522146 692411 783219 794570 1191855 1305365 1384822 1566438 1827511 2077233 2383710 2610730 3462055 3655022 3916095 4154466 4846877 5482533 6924110 7832190 9137555 9693754 10386165 10965066 14540631 15925453 18275110 20772330 24234385 27412665 29081262 31850906 47776359 48468770 54825330 72703155 79627265 95552718 111478171 145406310 159254530 222956342 238881795 334434513 477763590 557390855 668869026 1114781710 1672172565 3344345130