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2342680704 = 27347132191
BaseRepresentation
bin1000101110100010…
…0111100010000000
320001021011111210000
42023220213202000
514244211240304
61024243440000
7112024312620
oct21350474200
96037144700
102342680704
11aa2422761
12554686000
132b4469c00
141831bc880
15daa02939
hex8ba27880

2342680704 has 480 divisors, whose sum is σ = 8672970240. Its totient is φ = 614615040.

The previous prime is 2342680679. The next prime is 2342680771. The reversal of 2342680704 is 4070862432.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12265249 + ... + 12265439.

It is an arithmetic number, because the mean of its divisors is an integer number (18068688).

Almost surely, 22342680704 is an apocalyptic number.

2342680704 is a gapful number since it is divisible by the number (24) 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 2342680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336485120).

2342680704 is an abundant number, since it is smaller than the sum of its proper divisors (6330289536).

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

2342680704 is a wasteful number, since it uses less digits than its factorization.

2342680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2342680704 is about 48401.2469260865. The cubic root of 2342680704 is about 1328.1211724727.

The spelling of 2342680704 in words is "two billion, three hundred forty-two million, six hundred eighty thousand, seven hundred four".