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150434440 = 23513289297
BaseRepresentation
bin10001111011101…
…11001010001000
3101111001212020221
420331313022020
5302002400230
622532155424
73504446242
oct1075671210
9344055227
10150434440
1177a09692
1242468b74
1325221880
1415d9d092
15d31827a
hex8f77288

150434440 has 32 divisors (see below), whose sum is σ = 364515480. Its totient is φ = 55544832.

The previous prime is 150434387. The next prime is 150434443. The reversal of 150434440 is 44434051.

150434440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 88623396 + 61811044 = 9414^2 + 7862^2 .

It is a super-2 number, since 2×1504344402 = 45261041476227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150434443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144129 + ... + 145168.

Almost surely, 2150434440 is an apocalyptic number.

150434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150434440 is an abundant number, since it is smaller than the sum of its proper divisors (214081040).

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

150434440 is a wasteful number, since it uses less digits than its factorization.

150434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289321 (or 289317 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 150434440 is about 12265.1718292081. The cubic root of 150434440 is about 531.8417472651.

Adding to 150434440 its reverse (44434051), we get a palindrome (194868491).

The spelling of 150434440 in words is "one hundred fifty million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 289297 578594 1157188 1446485 2314376 2892970 3760861 5785940 7521722 11571880 15043444 18804305 30086888 37608610 75217220 150434440