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145353348 = 223275310883
BaseRepresentation
bin10001010100111…
…10101010000100
3101010111201022100
420222132222010
5244202301343
622231232100
73413324460
oct1052365204
9333451270
10145353348
1175059138
1240818630
1324162bca
14154394a0
15cb629d3
hex8a9ea84

145353348 has 72 divisors (see below), whose sum is σ = 427871808. Its totient is φ = 40742208.

The previous prime is 145353331. The next prime is 145353361. The reversal of 145353348 is 843353541.

It is a super-2 number, since 2×1453533482 = 42255191549618208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7915 + ... + 18797.

It is an arithmetic number, because the mean of its divisors is an integer number (5942664).

Almost surely, 2145353348 is an apocalyptic number.

145353348 is a gapful number since it is divisible by the number (18) 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 145353348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213935904).

145353348 is an abundant number, since it is smaller than the sum of its proper divisors (282518460).

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

145353348 is a wasteful number, since it uses less digits than its factorization.

145353348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10953 (or 10948 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 145353348 is about 12056.2576283024. The cubic root of 145353348 is about 525.7851869981.

The spelling of 145353348 in words is "one hundred forty-five million, three hundred fifty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 10883 13356 21766 32649 43532 65298 76181 97947 130596 152362 195894 228543 304724 391788 457086 576799 685629 914172 1153598 1371258 1730397 2307196 2742516 3460794 4037593 5191191 6921588 8075186 10382382 12112779 16150372 20764764 24225558 36338337 48451116 72676674 145353348