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343672992 = 253213223307
BaseRepresentation
bin10100011111000…
…000100010100000
3212221200101201100
4110133000202200
51200440013432
654034034400
711342113035
oct2437004240
9787611640
10343672992
11166aa3673
1297118a00
135627c400
143390138c
152028907c
hex147c08a0

343672992 has 216 divisors, whose sum is σ = 1107890784. Its totient is φ = 100818432.

The previous prime is 343672991. The next prime is 343673009. The reversal of 343672992 is 299276343.

343672992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3436729922 = 236222250860464128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343672991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1119303 + ... + 1119609.

It is an arithmetic number, because the mean of its divisors is an integer number (5129124).

Almost surely, 2343672992 is an apocalyptic number.

343672992 is a gapful number since it is divisible by the number (32) 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 343672992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553945392).

343672992 is an abundant number, since it is smaller than the sum of its proper divisors (764217792).

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

343672992 is a wasteful number, since it uses less digits than its factorization.

343672992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 343672992 is about 18538.4193500956. The cubic root of 343672992 is about 700.4575185887.

The spelling of 343672992 in words is "three hundred forty-three million, six hundred seventy-two thousand, nine hundred ninety-two".