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412627434 = 231771227251
BaseRepresentation
bin11000100110000…
…011000111101010
31001202102122102120
4120212003013222
51321113034214
6104540012110
713140163302
oct3046030752
91052378376
10412627434
111a1a1010a
12b6231036
136764305b
143cb30602
1526359ea9
hex189831ea

412627434 has 64 divisors (see below), whose sum is σ = 893555712. Its totient is φ = 126560000.

The previous prime is 412627433. The next prime is 412627447. The reversal of 412627434 is 434726214.

It is a super-2 number, since 2×4126274342 = 340522798578848712, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 412627395 and 412627404.

It is not an unprimeable number, because it can be changed into a prime (412627433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643809 + ... + 1644059.

It is an arithmetic number, because the mean of its divisors is an integer number (13961808).

Almost surely, 2412627434 is an apocalyptic number.

412627434 is an abundant number, since it is smaller than the sum of its proper divisors (480928278).

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

412627434 is a wasteful number, since it uses less digits than its factorization.

412627434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571.

The product of its digits is 32256, while the sum is 33.

The square root of 412627434 is about 20313.2329775445. The cubic root of 412627434 is about 744.4794249266.

The spelling of 412627434 in words is "four hundred twelve million, six hundred twenty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 71 102 142 213 227 251 426 454 502 681 753 1207 1362 1506 2414 3621 3859 4267 7242 7718 8534 11577 12801 16117 17821 23154 25602 32234 35642 48351 53463 56977 96702 106926 113954 170931 273989 302957 341862 547978 605914 821967 908871 968609 1643934 1817742 1937218 2905827 4045367 5811654 8090734 12136101 24272202 68771239 137542478 206313717 412627434