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340928352 = 25341031277
BaseRepresentation
bin10100010100100…
…010011101100000
3212202111221210000
4110110202131200
51144234201402
653455140000
711306562132
oct2424423540
9782457700
10340928352
11165499576
1296214600
135582b06b
14333c9052
151ede5c1c
hex14522760

340928352 has 120 divisors (see below), whose sum is σ = 1013188176. Its totient is φ = 112451328.

The previous prime is 340928311. The next prime is 340928363. The reversal of 340928352 is 253829043.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 266338 + ... + 267614.

Almost surely, 2340928352 is an apocalyptic number.

340928352 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 340928352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506594088).

340928352 is an abundant number, since it is smaller than the sum of its proper divisors (672259824).

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

340928352 is a wasteful number, since it uses less digits than its factorization.

340928352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 340928352 is about 18464.2452323403. The cubic root of 340928352 is about 698.5878688269.

The spelling of 340928352 in words is "three hundred forty million, nine hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 103 108 144 162 206 216 288 309 324 412 432 618 648 824 864 927 1236 1277 1296 1648 1854 2472 2554 2592 2781 3296 3708 3831 4944 5108 5562 7416 7662 8343 9888 10216 11124 11493 14832 15324 16686 20432 22248 22986 29664 30648 33372 34479 40864 44496 45972 61296 66744 68958 88992 91944 103437 122592 131531 133488 137916 183888 206874 263062 266976 275832 367776 394593 413748 526124 551664 789186 827496 1052248 1103328 1183779 1578372 1654992 2104496 2367558 3156744 3309984 3551337 4208992 4735116 6313488 7102674 9470232 10654011 12626976 14205348 18940464 21308022 28410696 37880928 42616044 56821392 85232088 113642784 170464176 340928352