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1449034240 = 29519313
BaseRepresentation
bin101011001011110…
…1000001000000000
310201222121120021211
41112113220020000
510431423043430
6355441455504
750623405423
oct12627501000
93658546254
101449034240
11683a3a965
12345341594
131a1289414
14da6379ba
158732d72a
hex565e8200

1449034240 has 160 divisors (see below), whose sum is σ = 3779043840. Its totient is φ = 531394560.

The previous prime is 1449034231. The next prime is 1449034267. The reversal of 1449034240 is 424309441.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×14490342403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46743025 + ... + 46743055.

It is an arithmetic number, because the mean of its divisors is an integer number (23619024).

Almost surely, 21449034240 is an apocalyptic number.

1449034240 is a gapful number since it is divisible by the number (10) 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 1449034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889521920).

1449034240 is an abundant number, since it is smaller than the sum of its proper divisors (2330009600).

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

1449034240 is an frugal number, since it uses more digits than its factorization.

1449034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1449034240 is about 38066.1823670302. The cubic root of 1449034240 is about 1131.5998535760.

The spelling of 1449034240 in words is "one billion, four hundred forty-nine million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 256 304 310 320 380 496 512 589 608 620 640 760 961 992 1178 1216 1240 1280 1520 1922 1984 2356 2432 2480 2560 2945 3040 3844 3968 4712 4805 4864 4960 5890 6080 7688 7936 9424 9610 9728 9920 11780 12160 15376 15872 18259 18848 19220 19840 23560 24320 29791 30752 36518 37696 38440 39680 47120 48640 59582 61504 73036 75392 76880 79360 91295 94240 119164 123008 146072 148955 150784 153760 182590 188480 238328 246016 292144 297910 301568 307520 365180 376960 476656 492032 566029 584288 595820 615040 730360 753920 953312 1132058 1168576 1191640 1230080 1460720 1507840 1906624 2264116 2337152 2383280 2460160 2830145 2921440 3813248 4528232 4674304 4766560 5660290 5842880 7626496 9056464 9348608 9533120 11320580 11685760 15252992 18112928 19066240 22641160 23371520 36225856 38132480 45282320 46743040 72451712 76264960 90564640 144903424 181129280 289806848 362258560 724517120 1449034240