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349962444 = 223413194373
BaseRepresentation
bin10100110111000…
…000000011001100
3220101111221020000
4110313000003030
51204042244234
654420524300
711446426446
oct2467000314
9811457200
10349962444
1116a5a9a67
1299250690
1357672090
143469b496
1520acc899
hex14dc00cc

349962444 has 120 divisors (see below), whose sum is σ = 1037337840. Its totient is φ = 101990016.

The previous prime is 349962443. The next prime is 349962449. The reversal of 349962444 is 444269943.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 349962444.

It is not an unprimeable number, because it can be changed into a prime (349962443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77842 + ... + 82214.

It is an arithmetic number, because the mean of its divisors is an integer number (8644482).

Almost surely, 2349962444 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 349962444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518668920).

349962444 is an abundant number, since it is smaller than the sum of its proper divisors (687375396).

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

349962444 is a wasteful number, since it uses less digits than its factorization.

349962444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4410 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 349962444 is about 18707.2831806225. The cubic root of 349962444 is about 704.7046657952.

The spelling of 349962444 in words is "three hundred forty-nine million, nine hundred sixty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1404 1482 1539 2052 2106 2223 2964 3078 4212 4373 4446 6156 6669 8746 8892 13119 13338 17492 20007 26238 26676 39357 40014 52476 56849 78714 80028 83087 113698 118071 157428 166174 170547 227396 236142 249261 332348 341094 354213 472284 498522 511641 682188 708426 747783 997044 1023282 1080131 1416852 1495566 1534923 2046564 2160262 2243349 2991132 3069846 3240393 4320524 4486698 4604769 6139692 6480786 6730047 8973396 9209538 9721179 12961572 13460094 18419076 19442358 26920188 29163537 38884716 58327074 87490611 116654148 174981222 349962444