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340364192 = 2572217069
BaseRepresentation
bin10100010010011…
…000101110100000
3212201110021220012
4110102120232200
51144113123232
653435104052
711302022300
oct2422305640
9781407805
10340364192
11165143723
1295ba2028
135569133c
14332bd600
151ed339b2
hex14498ba0

340364192 has 36 divisors (see below), whose sum is σ = 779498370. Its totient is φ = 145869696.

The previous prime is 340364183. The next prime is 340364197. The reversal of 340364192 is 291463043.

It can be written as a sum of positive squares in only one way, i.e., 266472976 + 73891216 = 16324^2 + 8596^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (340364197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106967 + ... + 110102.

Almost surely, 2340364192 is an apocalyptic number.

340364192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340364192 is an abundant number, since it is smaller than the sum of its proper divisors (439134178).

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

340364192 is a wasteful number, since it uses less digits than its factorization.

340364192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217093 (or 217078 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 340364192 is about 18448.9618136089. The cubic root of 340364192 is about 698.2023206410.

The spelling of 340364192 in words is "three hundred forty million, three hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 217069 434138 868276 1519483 1736552 3038966 3473104 6077932 6946208 10636381 12155864 21272762 24311728 42545524 48623456 85091048 170182096 340364192