Search a number
-
+
145363312 = 24232953257
BaseRepresentation
bin10001010101000…
…01000101110000
3101010112012222101
420222201011300
5244203111222
622231350144
73413365513
oct1052410560
9333465871
10145363312
1175065676
1240822354
13241675c3
141543cd7a
15cb65927
hex8aa1170

145363312 has 80 divisors (see below), whose sum is σ = 310962240. Its totient is φ = 65601536.

The previous prime is 145363307. The next prime is 145363333. The reversal of 145363312 is 213363541.

It is a super-2 number, since 2×1453633122 = 42260984951218688, 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, 565488 + ... + 565744.

It is an arithmetic number, because the mean of its divisors is an integer number (3887028).

Almost surely, 2145363312 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 145363312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155481120).

145363312 is an abundant number, since it is smaller than the sum of its proper divisors (165598928).

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

145363312 is a wasteful number, since it uses less digits than its factorization.

145363312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 145363312 is about 12056.6708506121. The cubic root of 145363312 is about 525.7972009489.

The spelling of 145363312 in words is "one hundred forty-five million, three hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 29 46 53 58 92 106 116 184 212 232 257 368 424 464 514 667 848 1028 1219 1334 1537 2056 2438 2668 3074 4112 4876 5336 5911 6148 7453 9752 10672 11822 12296 13621 14906 19504 23644 24592 27242 29812 35351 47288 54484 59624 70702 94576 108968 119248 141404 171419 217936 282808 313283 342838 395009 565616 626566 685676 790018 1253132 1371352 1580036 2506264 2742704 3160072 5012528 6320144 9085207 18170414 36340828 72681656 145363312