Search a number
-
+
350467344 = 24334147421
BaseRepresentation
bin10100111000111…
…011010100010000
3220102110120211000
4110320323110100
51204204423334
654435422000
711453631453
oct2470732420
9812416730
10350467344
1116a914337
1299454900
13577bab36
143478d49a
1520b7c299
hex14e3b510

350467344 has 160 divisors (see below), whose sum is σ = 1054932480. Its totient is φ = 111283200.

The previous prime is 350467333. The next prime is 350467357. The reversal of 350467344 is 443764053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 350467299 and 350467308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832254 + ... + 832674.

It is an arithmetic number, because the mean of its divisors is an integer number (6593328).

Almost surely, 2350467344 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 350467344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527466240).

350467344 is an abundant number, since it is smaller than the sum of its proper divisors (704465136).

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

350467344 is a wasteful number, since it uses less digits than its factorization.

350467344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 350467344 is about 18720.7730609609. The cubic root of 350467344 is about 705.0434015834.

The spelling of 350467344 in words is "three hundred fifty million, four hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 47 48 54 72 82 94 108 123 141 144 164 188 216 246 282 328 369 376 421 423 432 492 564 656 738 752 842 846 984 1107 1128 1263 1269 1476 1684 1692 1927 1968 2214 2256 2526 2538 2952 3368 3384 3789 3854 4428 5052 5076 5781 5904 6736 6768 7578 7708 8856 10104 10152 11367 11562 15156 15416 17261 17343 17712 19787 20208 20304 22734 23124 30312 30832 34522 34686 39574 45468 46248 51783 52029 59361 60624 69044 69372 79148 90936 92496 103566 104058 118722 138088 138744 155349 158296 178083 181872 207132 208116 237444 276176 277488 310698 316592 356166 414264 416232 466047 474888 534249 621396 712332 811267 828528 832464 932094 949776 1068498 1242792 1424664 1622534 1864188 2136996 2433801 2485584 2849328 3245068 3728376 4273992 4867602 6490136 7301403 7456752 8547984 9735204 12980272 14602806 19470408 21904209 29205612 38940816 43808418 58411224 87616836 116822448 175233672 350467344