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413352234 = 23537127181
BaseRepresentation
bin11000101000110…
…100000100101010
31001210210110200000
4120220310010222
51321304232414
6105003323430
713146302361
oct3050640452
91053713600
10413352234
111a2365719
12b6520576
1367837c29
143cc7c7d8
152644eb09
hex18a3412a

413352234 has 96 divisors (see below), whose sum is σ = 966690816. Its totient is φ = 132269760.

The previous prime is 413352227. The next prime is 413352257. The reversal of 413352234 is 432253314.

413352234 is a `hidden beast` number, since 4 + 133 + 522 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 413352198 and 413352207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283624 + ... + 2283804.

It is an arithmetic number, because the mean of its divisors is an integer number (10069696).

Almost surely, 2413352234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413352234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483345408).

413352234 is an abundant number, since it is smaller than the sum of its proper divisors (553338582).

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

413352234 is a wasteful number, since it uses less digits than its factorization.

413352234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

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

The square root of 413352234 is about 20331.0657369455. The cubic root of 413352234 is about 744.9150746249.

The spelling of 413352234 in words is "four hundred thirteen million, three hundred fifty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 127 162 181 222 243 254 333 362 381 486 543 666 762 999 1086 1143 1629 1998 2286 2997 3258 3429 4699 4887 5994 6697 6858 8991 9398 9774 10287 13394 14097 14661 17982 20091 20574 22987 28194 29322 30861 40182 42291 43983 45974 60273 61722 68961 84582 87966 120546 126873 137922 180819 206883 253746 361638 380619 413766 542457 620649 761238 850519 1084914 1141857 1241298 1627371 1701038 1861947 2283714 2551557 3254742 3723894 5103114 5585841 7654671 11171682 15309342 22964013 45928026 68892039 137784078 206676117 413352234