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463215340 = 22574497369
BaseRepresentation
bin11011100111000…
…001101011101100
31012021121202222201
4123213001223230
51422040342330
6113544151244
714323160020
oct3347015354
91167552881
10463215340
112185225a5
1210b168524
1374c75c23
144573c380
152a9edeca
hex1b9c1aec

463215340 has 48 divisors (see below), whose sum is σ = 1114344000. Its totient is φ = 158441472.

The previous prime is 463215257. The next prime is 463215343. The reversal of 463215340 is 43512364.

It is a super-2 number, since 2×4632153402 = 429136902422631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 463215299 and 463215308.

It is not an unprimeable number, because it can be changed into a prime (463215343) 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, 59176 + ... + 66544.

It is an arithmetic number, because the mean of its divisors is an integer number (23215500).

Almost surely, 2463215340 is an apocalyptic number.

It is an amenable number.

463215340 is an abundant number, since it is smaller than the sum of its proper divisors (651128660).

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

463215340 is a wasteful number, since it uses less digits than its factorization.

463215340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 463215340 is about 21522.4380589189. The cubic root of 463215340 is about 773.7386850522.

The spelling of 463215340 in words is "four hundred sixty-three million, two hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 449 898 1796 2245 3143 4490 6286 7369 8980 12572 14738 15715 29476 31430 36845 51583 62860 73690 103166 147380 206332 257915 515830 1031660 3308681 6617362 13234724 16543405 23160767 33086810 46321534 66173620 92643068 115803835 231607670 463215340