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145343440 = 245112343167
BaseRepresentation
bin10001010100111…
…00001111010000
3101010111012201101
420222130033100
5244201442230
622231114144
73413253544
oct1052341720
9333435641
10145343440
1175051750
1240812954
132415b548
1415435a24
15cb5eaca
hex8a9c3d0

145343440 has 160 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 49082880.

The previous prime is 145343381. The next prime is 145343441. The reversal of 145343440 is 44343541.

It is a super-2 number, since 2×1453434402 = 42249431102067200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145343399 and 145343408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145343441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870237 + ... + 870403.

Almost surely, 2145343440 is an apocalyptic number.

145343440 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 145343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

145343440 is an abundant number, since it is smaller than the sum of its proper divisors (250631216).

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

145343440 is a wasteful number, since it uses less digits than its factorization.

145343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 145343440 is about 12055.8467143540. The cubic root of 145343440 is about 525.7732400241.

Adding to 145343440 its reverse (44343541), we get a palindrome (189686981).

The spelling of 145343440 in words is "one hundred forty-five million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 43 44 46 55 80 86 88 92 110 115 167 172 176 184 215 220 230 253 334 344 368 430 440 460 473 506 668 688 835 860 880 920 946 989 1012 1265 1336 1670 1720 1837 1840 1892 1978 2024 2365 2530 2672 3340 3440 3674 3784 3841 3956 4048 4730 4945 5060 6680 7181 7348 7568 7682 7912 9185 9460 9890 10120 10879 13360 14362 14696 15364 15824 18370 18920 19205 19780 20240 21758 28724 29392 30728 35905 36740 37840 38410 39560 42251 43516 54395 57448 61456 71810 73480 76820 78991 79120 84502 87032 108790 114896 143620 146960 153640 157982 165163 169004 174064 211255 217580 287240 307280 315964 330326 338008 394955 422510 435160 574480 631928 660652 676016 789910 825815 845020 870320 1263856 1321304 1579820 1651630 1690040 1816793 2642608 3159640 3303260 3380080 3633586 6319280 6606520 7267172 9083965 13213040 14534344 18167930 29068688 36335860 72671720 145343440