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145304328 = 233133741307
BaseRepresentation
bin10001010100100…
…10101100001000
3101010102020001210
420222102230020
5244144214303
622230213120
73413031531
oct1052225410
9333366053
10145304328
1175025324
12407b41a0
13241467c0
1415425688
15cb53203
hex8a92b08

145304328 has 128 divisors (see below), whose sum is σ = 412917120. Its totient is φ = 42301440.

The previous prime is 145304311. The next prime is 145304329. The reversal of 145304328 is 823403541.

It is a super-2 number, since 2×1453043282 = 42226695471063168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145304295 and 145304304.

It is not an unprimeable number, because it can be changed into a prime (145304329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473151 + ... + 473457.

It is an arithmetic number, because the mean of its divisors is an integer number (3225915).

Almost surely, 2145304328 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 145304328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206458560).

145304328 is an abundant number, since it is smaller than the sum of its proper divisors (267612792).

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

145304328 is a wasteful number, since it uses less digits than its factorization.

145304328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 145304328 is about 12054.2244877055. The cubic root of 145304328 is about 525.7260738366.

Adding to 145304328 its reverse (823403541), we get a palindrome (968707869).

The spelling of 145304328 in words is "one hundred forty-five million, three hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 41 52 74 78 82 104 111 123 148 156 164 222 246 296 307 312 328 444 481 492 533 614 888 921 962 984 1066 1228 1443 1517 1599 1842 1924 2132 2456 2886 3034 3198 3684 3848 3991 4264 4551 5772 6068 6396 7368 7982 9102 11359 11544 11973 12136 12587 12792 15964 18204 19721 22718 23946 25174 31928 34077 36408 37761 39442 45436 47892 50348 59163 68154 75522 78884 90872 95784 100696 118326 136308 147667 151044 157768 163631 236652 272616 295334 302088 327262 443001 465719 473304 490893 590668 654524 886002 931438 981786 1181336 1309048 1397157 1772004 1862876 1963572 2794314 3544008 3725752 3927144 5588628 6054347 11177256 12108694 18163041 24217388 36326082 48434776 72652164 145304328