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145344440 = 23567193281
BaseRepresentation
bin10001010100111…
…00011110111000
3101010111021002102
420222130132320
5244202010230
622231122532
73413256503
oct1052343670
9333437072
10145344440
117505247a
1240813448
132415bb37
141543613a
15cb60045
hex8a9c7b8

145344440 has 64 divisors (see below), whose sum is σ = 334812960. Its totient is φ = 56770560.

The previous prime is 145344403. The next prime is 145344457. The reversal of 145344440 is 44443541.

145344440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453444402 = 42250012477827200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517100 + ... + 517380.

Almost surely, 2145344440 is an apocalyptic number.

145344440 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 145344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167406480).

145344440 is an abundant number, since it is smaller than the sum of its proper divisors (189468520).

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

145344440 is a wasteful number, since it uses less digits than its factorization.

145344440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 145344440 is about 12055.8881879354. Note that the first 3 decimals coincide. The cubic root of 145344440 is about 525.7744458395.

Adding to 145344440 its reverse (44443541), we get a palindrome (189787981).

The spelling of 145344440 in words is "one hundred forty-five million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 193 268 281 335 386 536 562 670 772 965 1124 1340 1405 1544 1930 2248 2680 2810 3860 5620 7720 11240 12931 18827 25862 37654 51724 54233 64655 75308 94135 103448 108466 129310 150616 188270 216932 258620 271165 376540 433864 517240 542330 753080 1084660 2169320 3633611 7267222 14534444 18168055 29068888 36336110 72672220 145344440