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321413430 = 23513824137
BaseRepresentation
bin10011001010000…
…110000100110110
3211101210111100010
4103022012010312
51124240212210
651521001050
710651653252
oct2312060466
9741714303
10321413430
1115547a738
128b783186
1351787680
1430989262
151d33d920
hex13286136

321413430 has 32 divisors (see below), whose sum is σ = 830731104. Its totient is φ = 79117056.

The previous prime is 321413419. The next prime is 321413437. The reversal of 321413430 is 34314123.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 321413397 and 321413406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321413437) 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, 411679 + ... + 412458.

It is an arithmetic number, because the mean of its divisors is an integer number (25960347).

Almost surely, 2321413430 is an apocalyptic number.

321413430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

321413430 is an abundant number, since it is smaller than the sum of its proper divisors (509317674).

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

321413430 is a wasteful number, since it uses less digits than its factorization.

321413430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824160.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 321413430 is about 17928.0068607751. The cubic root of 321413430 is about 684.9959542979.

Adding to 321413430 its reverse (34314123), we get a palindrome (355727553).

The spelling of 321413430 in words is "three hundred twenty-one million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 824137 1648274 2472411 4120685 4944822 8241370 10713781 12362055 21427562 24724110 32141343 53568905 64282686 107137810 160706715 321413430