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340670473440 = 25351170439161
BaseRepresentation
bin1001111010100011000…
…10101110010011100000
31012120022220121010220020
410331101202232103200
521040143120122230
6420300222313440
733420063150243
oct4752142562340
91176286533806
10340670473440
11121528667a20
1256035a28880
1326181a82bcb
14126ba79d25a
158cdce84810
hex4f518ae4e0

340670473440 has 192 divisors, whose sum is σ = 1170961650432. Its totient is φ = 82566041600.

The previous prime is 340670473427. The next prime is 340670473453. The reversal of 340670473440 is 44374076043.

It is an interprime number because it is at equal distance from previous prime (340670473427) and next prime (340670473453).

It is a junction number, because it is equal to n+sod(n) for n = 340670473392 and 340670473401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37182460 + ... + 37191620.

It is an arithmetic number, because the mean of its divisors is an integer number (6098758596).

Almost surely, 2340670473440 is an apocalyptic number.

340670473440 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 340670473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585480825216).

340670473440 is an abundant number, since it is smaller than the sum of its proper divisors (830291176992).

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

340670473440 is a wasteful number, since it uses less digits than its factorization.

340670473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16233 (or 16225 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 340670473440 in words is "three hundred forty billion, six hundred seventy million, four hundred seventy-three thousand, four hundred forty".