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144934080 = 2635433511
BaseRepresentation
bin10001010001110…
…00010011000000
3101002201102011220
420220320103000
5244100342310
622214235040
73406630224
oct1050702300
9332642156
10144934080
11748a2135
1240655a80
1324047115
141536a784
15cacd670
hex8a384c0

144934080 has 112 divisors (see below), whose sum is σ = 471001344. Its totient is φ = 37739520.

The previous prime is 144934067. The next prime is 144934087. The reversal of 144934080 is 80439441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144934087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39525 + ... + 43035.

Almost surely, 2144934080 is an apocalyptic number.

144934080 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 144934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235500672).

144934080 is an abundant number, since it is smaller than the sum of its proper divisors (326067264).

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

144934080 is a wasteful number, since it uses less digits than its factorization.

144934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 144934080 is about 12038.8570886110. The cubic root of 144934080 is about 525.2791621903.

The spelling of 144934080 in words is "one hundred forty-four million, nine hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 3511 4128 5160 6880 7022 8256 10320 10533 13760 14044 17555 20640 21066 28088 35110 41280 42132 52665 56176 70220 84264 105330 112352 140440 150973 168528 210660 224704 280880 301946 337056 421320 452919 561760 603892 674112 754865 842640 905838 1123520 1207784 1509730 1685280 1811676 2264595 2415568 3019460 3370560 3623352 4529190 4831136 6038920 7246704 9058380 9662272 12077840 14493408 18116760 24155680 28986816 36233520 48311360 72467040 144934080