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44349312 = 273722357
BaseRepresentation
bin1010100100101…
…1011110000000
310002110011211010
42221023132000
542323134222
64222320520
71045651200
oct251133600
9102404733
1044349312
1123041327
1212a29140
13925a3c7
145c66400
153d6080c
hex2a4b780

44349312 has 96 divisors (see below), whose sum is σ = 137094120. Its totient is φ = 12665856.

The previous prime is 44349299. The next prime is 44349317. The reversal of 44349312 is 21394344.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×443493122 = 3933722949746688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44349312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44349317) 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 11 ways as a sum of consecutive naturals, for example, 17638 + ... + 19994.

Almost surely, 244349312 is an apocalyptic number.

44349312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68547060).

44349312 is an abundant number, since it is smaller than the sum of its proper divisors (92744808).

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

44349312 is a wasteful number, since it uses less digits than its factorization.

44349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2369 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 44349312 is about 6659.5279111961. The cubic root of 44349312 is about 353.9666092544.

The spelling of 44349312 in words is "forty-four million, three hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2357 2688 3136 4704 4714 6272 7071 9408 9428 14142 16499 18816 18856 28284 32998 37712 49497 56568 65996 75424 98994 113136 115493 131992 150848 197988 226272 230986 263984 301696 346479 395976 452544 461972 527968 692958 791952 905088 923944 1055936 1385916 1583904 1847888 2111872 2771832 3167808 3695776 5543664 6335616 7391552 11087328 14783104 22174656 44349312