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340877952 = 2732295901
BaseRepresentation
bin10100010100010…
…110001010000000
3212202102101122100
4110110112022000
51144231043302
653454110400
711306262162
oct2424261200
9782371570
10340877952
11165464718
12961ab400
135581113c
14333b4932
151edd5d1c
hex14516280

340877952 has 48 divisors (see below), whose sum is σ = 980915130. Its totient is φ = 113625600.

The previous prime is 340877923. The next prime is 340877959. The reversal of 340877952 is 259778043.

It can be written as a sum of positive squares in only one way, i.e., 340623936 + 254016 = 18456^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 340877898 and 340877907.

It is not an unprimeable number, because it can be changed into a prime (340877959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146799 + ... + 149102.

Almost surely, 2340877952 is an apocalyptic number.

340877952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340877952 is an abundant number, since it is smaller than the sum of its proper divisors (640037178).

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

340877952 is a wasteful number, since it uses less digits than its factorization.

340877952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295921 (or 295906 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 340877952 is about 18462.8803819989. The cubic root of 340877952 is about 698.5534426652.

The spelling of 340877952 in words is "three hundred forty million, eight hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 295901 591802 887703 1183604 1775406 2367208 2663109 3550812 4734416 5326218 7101624 9468832 10652436 14203248 18937664 21304872 28406496 37875328 42609744 56812992 85219488 113625984 170438976 340877952