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449140734 = 233719232719
BaseRepresentation
bin11010110001010…
…101011111111110
31011022010201021000
4122301111133332
51404440000414
6112322351130
714062430130
oct3261253776
91138121230
10449140734
1121058a099
121064bb4a6
1372088863
1443917050
152966db09
hex1ac557fe

449140734 has 128 divisors (see below), whose sum is σ = 1253376000. Its totient is φ = 116243424.

The previous prime is 449140729. The next prime is 449140751. The reversal of 449140734 is 437041944.

449140734 is a `hidden beast` number, since 449 + 140 + 73 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163827 + ... + 166545.

It is an arithmetic number, because the mean of its divisors is an integer number (9792000).

Almost surely, 2449140734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449140734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626688000).

449140734 is an abundant number, since it is smaller than the sum of its proper divisors (804235266).

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

449140734 is a wasteful number, since it uses less digits than its factorization.

449140734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 449140734 is about 21192.9406642872. The cubic root of 449140734 is about 765.8213707687.

The spelling of 449140734 in words is "four hundred forty-nine million, one hundred forty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 27 38 42 46 54 57 63 69 114 126 133 138 161 171 189 207 266 322 342 378 399 414 437 483 513 621 798 874 966 1026 1197 1242 1311 1449 2394 2622 2719 2898 3059 3591 3933 4347 5438 6118 7182 7866 8157 8694 9177 11799 16314 18354 19033 23598 24471 27531 38066 48942 51661 55062 57099 62537 73413 82593 103322 114198 125074 146826 154983 165186 171297 187611 309966 342594 361627 375222 437759 464949 513891 562833 723254 875518 929898 1027782 1084881 1125666 1188203 1313277 1394847 1688499 2169762 2376406 2626554 2789694 3254643 3376998 3564609 3939831 6509286 7129218 7879662 8317421 9763929 10693827 11819493 16634842 19527858 21387654 23638986 24952263 32081481 49904526 64162962 74856789 149713578 224570367 449140734