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10434034224 = 2433191271203
BaseRepresentation
bin10011011011110101…
…01011101000110000
3222221011110212011000
421231322223220300
5132332103043344
64443205322000
7516364553565
oct115572535060
928834425130
1010434034224
114474816389
122032406300
13ca38b7063
1470da6686c
15411045a69
hex26deaba30

10434034224 has 80 divisors (see below), whose sum is σ = 31525859200. Its totient is φ = 3294955584.

The previous prime is 10434034217. The next prime is 10434034229. The reversal of 10434034224 is 42243043401.

It is a happy number.

10434034224 is a `hidden beast` number, since 1 + 0 + 434 + 0 + 3 + 4 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10434034229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627394 + ... + 643809.

It is an arithmetic number, because the mean of its divisors is an integer number (394073240).

Almost surely, 210434034224 is an apocalyptic number.

It is an amenable number.

10434034224 is an abundant number, since it is smaller than the sum of its proper divisors (21091824976).

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

10434034224 is a wasteful number, since it uses less digits than its factorization.

10434034224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271239 (or 1271227 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10434034224 its reverse (42243043401), we get a palindrome (52677077625).

The spelling of 10434034224 in words is "ten billion, four hundred thirty-four million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 1271203 2542406 3813609 5084812 7627218 10169624 11440827 15254436 20339248 22881654 24152857 30508872 34322481 45763308 48305714 61017744 68644962 72458571 91526616 96611428 137289924 144917142 183053232 193222856 217375713 274579848 289834284 386445712 434751426 549159696 579668568 652127139 869502852 1159337136 1304254278 1739005704 2608508556 3478011408 5217017112 10434034224