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344296680 = 233571341769
BaseRepresentation
bin10100100001011…
…000110011101000
3212222212002020220
4110201120303220
51201114443210
654055250040
711350321260
oct2441306350
9788762226
10344296680
1116738a212
1297379920
135643a260
1433a247a0
152035dc70
hex14858ce8

344296680 has 256 divisors, whose sum is σ = 1303948800. Its totient is φ = 70778880.

The previous prime is 344296669. The next prime is 344296723. The reversal of 344296680 is 86692443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447336 + ... + 448104.

It is an arithmetic number, because the mean of its divisors is an integer number (5093550).

Almost surely, 2344296680 is an apocalyptic number.

344296680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344296680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651974400).

344296680 is an abundant number, since it is smaller than the sum of its proper divisors (959652120).

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

344296680 is a wasteful number, since it uses less digits than its factorization.

344296680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 344296680 is about 18555.2332240799. The cubic root of 344296680 is about 700.8809860067.

The spelling of 344296680 in words is "three hundred forty-four million, two hundred ninety-six thousand, six hundred eighty".