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345024040 = 235193671237
BaseRepresentation
bin10100100100001…
…010011000101000
3220001020001000011
4110210022120220
51201311232130
654123021304
711356440664
oct2444123050
9801201004
10345024040
11167836739
129766a834
135663334a
1433b738a4
152045452a
hex1490a628

345024040 has 64 divisors (see below), whose sum is σ = 820051200. Its totient is φ = 130284288.

The previous prime is 345024037. The next prime is 345024041. The reversal of 345024040 is 40420543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345024041) 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, 278302 + ... + 279538.

It is an arithmetic number, because the mean of its divisors is an integer number (12813300).

Almost surely, 2345024040 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 345024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410025600).

345024040 is an abundant number, since it is smaller than the sum of its proper divisors (475027160).

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

345024040 is a wasteful number, since it uses less digits than its factorization.

345024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 345024040 is about 18574.8227447801. The cubic root of 345024040 is about 701.3741984490.

Adding to 345024040 its reverse (40420543), we get a palindrome (385444583).

The spelling of 345024040 in words is "three hundred forty-five million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 367 380 734 760 1237 1468 1835 2474 2936 3670 4948 6185 6973 7340 9896 12370 13946 14680 23503 24740 27892 34865 47006 49480 55784 69730 94012 117515 139460 188024 235030 278920 453979 470060 907958 940120 1815916 2269895 3631832 4539790 8625601 9079580 17251202 18159160 34502404 43128005 69004808 86256010 172512020 345024040