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145330344 = 2332832293
BaseRepresentation
bin10001010100110…
…01000010101000
3101010110112202100
420222121002220
5244201032334
622230533400
73413200425
oct1052310250
9333415670
10145330344
1175042925
1240807260
13241555b3
1415430d4c
15cb5ac99
hex8a990a8

145330344 has 72 divisors (see below), whose sum is σ = 399762090. Its totient is φ = 47696448.

The previous prime is 145330333. The next prime is 145330357. The reversal of 145330344 is 443033541.

It can be written as a sum of positive squares in only one way, i.e., 89529444 + 55800900 = 9462^2 + 7470^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1453303442 = 42241817774316672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 495862 + ... + 496154.

Almost surely, 2145330344 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 145330344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199881045).

145330344 is an abundant number, since it is smaller than the sum of its proper divisors (254431746).

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

145330344 is a wasteful number, since it uses less digits than its factorization.

145330344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 145330344 is about 12055.3035631626. The cubic root of 145330344 is about 525.7574481564.

Adding to 145330344 its reverse (443033541), we get a palindrome (588363885).

The spelling of 145330344 in words is "one hundred forty-five million, three hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 293 332 498 586 664 747 879 996 1172 1494 1758 1992 2344 2637 2988 3516 5274 5976 6889 7032 10548 13778 20667 21096 24319 27556 41334 48638 55112 62001 72957 82668 97276 124002 145914 165336 194552 218871 248004 291828 437742 496008 583656 875484 1750968 2018477 4036954 6055431 8073908 12110862 16147816 18166293 24221724 36332586 48443448 72665172 145330344