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145345716 = 223217534481
BaseRepresentation
bin10001010100111…
…00110010110100
3101010111022211200
420222130302310
5244202030331
622231132500
73413263305
oct1052346264
9333438750
10145345716
117505342a
1240814130
132415c5a9
14154367ac
15cb605e6
hex8a9ccb4

145345716 has 72 divisors (see below), whose sum is σ = 396441864. Its totient is φ = 44728320.

The previous prime is 145345703. The next prime is 145345721. The reversal of 145345716 is 617543541.

It can be written as a sum of positive squares in 4 ways, for example, as 75690000 + 69655716 = 8700^2 + 8346^2 .

It is a super-2 number, since 2×1453457162 = 42250754319105312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30196 + ... + 34676.

It is an arithmetic number, because the mean of its divisors is an integer number (5506137).

Almost surely, 2145345716 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 145345716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198220932).

145345716 is an abundant number, since it is smaller than the sum of its proper divisors (251096148).

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

145345716 is a wasteful number, since it uses less digits than its factorization.

145345716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4556 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 145345716 is about 12055.9411080181. The cubic root of 145345716 is about 525.7759844518.

The spelling of 145345716 in words is "one hundred forty-five million, three hundred forty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 4481 5406 8109 8962 10812 13443 16218 17924 26886 32436 40329 53772 76177 80658 152354 161316 228531 237493 304708 457062 474986 685593 712479 914124 949972 1371186 1424958 2137437 2742372 2849916 4037381 4274874 8074762 8549748 12112143 16149524 24224286 36336429 48448572 72672858 145345716