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305417431 = 1127513361
BaseRepresentation
bin10010001101000…
…100110011010111
3210021200210221201
4102031010303113
51111141324211
650150053331
710366001554
oct2215046327
9707623851
10305417431
11147444700
128634a247
134b376897
142c7c3a2b
151bc2e0c1
hex12344cd7

305417431 has 12 divisors (see below), whose sum is σ = 336253792. Its totient is φ = 277200000.

The previous prime is 305417389. The next prime is 305417471. The reversal of 305417431 is 134714503.

It is not a de Polignac number, because 305417431 - 27 = 305417303 is a prime.

It is a super-2 number, since 2×3054174312 = 186559614317279522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 305417431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305417471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89191 + ... + 92551.

Almost surely, 2305417431 is an apocalyptic number.

305417431 is a deficient number, since it is larger than the sum of its proper divisors (30836361).

305417431 is a wasteful number, since it uses less digits than its factorization.

305417431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 305417431 is about 17476.1961250153. The cubic root of 305417431 is about 673.4384982348.

The spelling of 305417431 in words is "three hundred five million, four hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 11 121 751 3361 8261 36971 90871 406681 2524111 27765221 305417431