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349424448 = 26337101487
BaseRepresentation
bin10100110100111…
…100101101000000
3220100111121020020
4110310330231000
51203423040243
654401213440
711442026112
oct2464745500
9810447206
10349424448
1116a27183a
1299031280
1357514239
143459b3b2
1520a23283
hex14d3cb40

349424448 has 112 divisors (see below), whose sum is σ = 960875904. Its totient is φ = 111974400.

The previous prime is 349424437. The next prime is 349424503. The reversal of 349424448 is 844424943.

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 15 ways as a sum of consecutive naturals, for example, 717261 + ... + 717747.

Almost surely, 2349424448 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 349424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480437952).

349424448 is an abundant number, since it is smaller than the sum of its proper divisors (611451456).

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

349424448 is a wasteful number, since it uses less digits than its factorization.

349424448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 349424448 is about 18692.8983306495. The cubic root of 349424448 is about 704.3433672792.

The spelling of 349424448 in words is "three hundred forty-nine million, four hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 101 111 148 192 202 222 296 303 404 444 487 592 606 808 888 974 1184 1212 1461 1616 1776 1948 2368 2424 2922 3232 3552 3737 3896 4848 5844 6464 7104 7474 7792 9696 11211 11688 14948 15584 18019 19392 22422 23376 29896 31168 36038 44844 46752 49187 54057 59792 72076 89688 93504 98374 108114 119584 144152 147561 179376 196748 216228 239168 288304 295122 358752 393496 432456 576608 590244 717504 786992 864912 1153216 1180488 1573984 1729824 1819919 2360976 3147968 3459648 3639838 4721952 5459757 7279676 9443904 10919514 14559352 21839028 29118704 43678056 58237408 87356112 116474816 174712224 349424448