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345269952 = 26351492
BaseRepresentation
bin10100100101000…
…110011011000000
3220001200112100000
4110211012123000
51201342114302
654132200000
711361513636
oct2445063300
9801615300
10345269952
11167994475
1297769000
13566bb261
1433bd9356
15204a231c
hex149466c0

345269952 has 126 divisors (see below), whose sum is σ = 1033242028. Its totient is φ = 114317568.

The previous prime is 345269879. The next prime is 345269959. The reversal of 345269952 is 259962543.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

345269952 is a `hidden beast` number, since 34 + 526 + 9 + 95 + 2 = 666.

It is a super-2 number, since 2×3452699522 = 238422679508164608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345269898 and 345269907.

It is not an unprimeable number, because it can be changed into a prime (345269959) 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 17 ways as a sum of consecutive naturals, for example, 2317174 + ... + 2317322.

Almost surely, 2345269952 is an apocalyptic number.

345269952 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 345269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516621014).

345269952 is an abundant number, since it is smaller than the sum of its proper divisors (687972076).

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

345269952 is an frugal number, since it uses more digits than its factorization.

345269952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 154 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 345269952 is about 18581.4410635989. The cubic root of 345269952 is about 701.5407910641.

The spelling of 345269952 in words is "three hundred forty-five million, two hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 149 162 192 216 243 288 298 324 432 447 486 576 596 648 864 894 972 1192 1296 1341 1728 1788 1944 2384 2592 2682 3576 3888 4023 4768 5184 5364 7152 7776 8046 9536 10728 12069 14304 15552 16092 21456 22201 24138 28608 32184 36207 42912 44402 48276 64368 66603 72414 85824 88804 96552 128736 133206 144828 177608 193104 199809 257472 266412 289656 355216 386208 399618 532824 579312 599427 710432 772416 799236 1065648 1158624 1198854 1420864 1598472 1798281 2131296 2317248 2397708 3196944 3596562 4262592 4795416 5394843 6393888 7193124 9590832 10789686 12787776 14386248 19181664 21579372 28772496 38363328 43158744 57544992 86317488 115089984 172634976 345269952