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145362438 = 23413233001
BaseRepresentation
bin10001010101000…
…00111000000110
3101010112011210000
420222200320012
5244203044223
622231342130
73413363124
oct1052407006
9333464700
10145362438
1175064a51
1240821946
13241670a0
141543c914
15cb65543
hex8aa0e06

145362438 has 80 divisors (see below), whose sum is σ = 366147936. Its totient is φ = 42768000.

The previous prime is 145362421. The next prime is 145362443. The reversal of 145362438 is 834263541.

It is a super-2 number, since 2×1453624382 = 42260476762607688, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46938 + ... + 49938.

Almost surely, 2145362438 is an apocalyptic number.

145362438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145362438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183073968).

145362438 is an abundant number, since it is smaller than the sum of its proper divisors (220785498).

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

145362438 is a wasteful number, since it uses less digits than its factorization.

145362438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3042 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 145362438 is about 12056.6346050629. The cubic root of 145362438 is about 525.7961471578.

The spelling of 145362438 in words is "one hundred forty-five million, three hundred sixty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 702 897 1053 1242 1794 1863 2106 2691 3001 3726 5382 6002 8073 9003 16146 18006 24219 27009 39013 48438 54018 69023 78026 81027 117039 138046 162054 207069 234078 243081 351117 414138 486162 621207 702234 897299 1053351 1242414 1794598 1863621 2106702 2691897 3160053 3727242 5383794 5590863 6320106 8075691 11181726 16151382 24227073 48454146 72681219 145362438