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145345504 = 2543531993
BaseRepresentation
bin10001010100111…
…00101111100000
3101010111022112211
420222130233200
5244202024004
622231131504
73413262553
oct1052345740
9333438484
10145345504
1175053257
1240813b94
132415c475
141543669a
15cb60504
hex8a9cbe0

145345504 has 48 divisors (see below), whose sum is σ = 298477872. Its totient is φ = 69608448.

The previous prime is 145345481. The next prime is 145345507. The reversal of 145345504 is 405543541.

It is a happy number.

It is a super-2 number, since 2×1453455042 = 42250631066028032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145345507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71932 + ... + 73924.

It is an arithmetic number, because the mean of its divisors is an integer number (6218289).

Almost surely, 2145345504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149238936).

145345504 is an abundant number, since it is smaller than the sum of its proper divisors (153132368).

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

145345504 is a wasteful number, since it uses less digits than its factorization.

145345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 145345504 is about 12055.9323156693. The cubic root of 145345504 is about 525.7757288209.

It can be divided in two parts, 14534 and 5504, that multiplied together give a square (79995136 = 89442).

The spelling of 145345504 in words is "one hundred forty-five million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 43 53 86 106 172 212 344 424 688 848 1376 1696 1993 2279 3986 4558 7972 9116 15944 18232 31888 36464 63776 72928 85699 105629 171398 211258 342796 422516 685592 845032 1371184 1690064 2742368 3380128 4542047 9084094 18168188 36336376 72672752 145345504