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463340136 = 233731432069
BaseRepresentation
bin11011100111100…
…000001001101000
31012021212010011210
4123213200021220
51422103341021
6113550553120
714324216610
oct3347401150
91167763153
10463340136
112185a8336
1210b2087a0
1374cba97c
1445771a40
152aa25e76
hex1b9e0268

463340136 has 128 divisors (see below), whose sum is σ = 1398988800. Its totient is φ = 125072640.

The previous prime is 463340123. The next prime is 463340161. The reversal of 463340136 is 631043364.

It is an unprimeable number.

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, 222910 + ... + 224978.

It is an arithmetic number, because the mean of its divisors is an integer number (10929600).

Almost surely, 2463340136 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 463340136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699494400).

463340136 is an abundant number, since it is smaller than the sum of its proper divisors (935648664).

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

463340136 is a wasteful number, since it uses less digits than its factorization.

463340136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 463340136 is about 21525.3370705316. The cubic root of 463340136 is about 773.8081637693.

The spelling of 463340136 in words is "four hundred sixty-three million, three hundred forty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 43 56 62 84 86 93 124 129 168 172 186 217 248 258 301 344 372 434 516 602 651 744 868 903 1032 1204 1302 1333 1736 1806 2069 2408 2604 2666 3612 3999 4138 5208 5332 6207 7224 7998 8276 9331 10664 12414 14483 15996 16552 18662 24828 27993 28966 31992 37324 43449 49656 55986 57932 64139 74648 86898 88967 111972 115864 128278 173796 177934 192417 223944 256556 266901 347592 355868 384834 448973 513112 533802 622769 711736 769668 897946 1067604 1245538 1346919 1539336 1795892 1868307 2135208 2491076 2693838 2757977 3591784 3736614 4982152 5387676 5515954 7473228 8273931 10775352 11031908 14946456 16547862 19305839 22063816 33095724 38611678 57917517 66191448 77223356 115835034 154446712 231670068 463340136