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341923680 = 2534573769
BaseRepresentation
bin10100011000010…
…101011101100000
3212211101112010000
4110120111131200
51200013024210
653532340000
711321206020
oct2430253540
9784345100
10341923680
1116600935a
1296614600
1355ab9107
14335a7a80
1520040ac0
hex14615760

341923680 has 240 divisors, whose sum is σ = 1379458080. Its totient is φ = 78133248.

The previous prime is 341923667. The next prime is 341923691. The reversal of 341923680 is 86329143.

341923680 is a `hidden beast` number, since 3 + 419 + 236 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88836 + ... + 92604.

It is an arithmetic number, because the mean of its divisors is an integer number (5747742).

Almost surely, 2341923680 is an apocalyptic number.

341923680 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 341923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689729040).

341923680 is an abundant number, since it is smaller than the sum of its proper divisors (1037534400).

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

341923680 is a wasteful number, since it uses less digits than its factorization.

341923680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 341923680 is about 18491.1784372981. The cubic root of 341923680 is about 699.2670423246.

The spelling of 341923680 in words is "three hundred forty-one million, nine hundred twenty-three thousand, six hundred eighty".