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345927996 = 2236971223
BaseRepresentation
bin10100100111100…
…111000100111100
3220002220222000000
4110213213010330
51202024143441
654154234300
711400224301
oct2447470474
9802828000
10345927996
111682a3907
1297a25990
135688b92b
1433d2b0a8
15205822b6
hex149e713c

345927996 has 84 divisors (see below), whose sum is σ = 917752752. Its totient is φ = 114027264.

The previous prime is 345927983. The next prime is 345927997. The reversal of 345927996 is 699729543.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345927997) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 282241 + ... + 283463.

It is an arithmetic number, because the mean of its divisors is an integer number (10925628).

Almost surely, 2345927996 is an apocalyptic number.

345927996 is a gapful number since it is divisible by the number (36) 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 345927996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458876376).

345927996 is an abundant number, since it is smaller than the sum of its proper divisors (571824756).

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

345927996 is a wasteful number, since it uses less digits than its factorization.

345927996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1325 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 345927996 is about 18599.1396575218. The cubic root of 345927996 is about 701.9861930223.

The spelling of 345927996 in words is "three hundred forty-five million, nine hundred twenty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 243 291 324 388 486 582 729 873 972 1164 1223 1458 1746 2446 2619 2916 3492 3669 4892 5238 7338 7857 10476 11007 14676 15714 22014 23571 31428 33021 44028 47142 66042 70713 94284 99063 118631 132084 141426 198126 237262 282852 297189 355893 396252 474524 594378 711786 891567 1067679 1188756 1423572 1783134 2135358 3203037 3566268 4270716 6406074 9609111 12812148 19218222 28827333 38436444 57654666 86481999 115309332 172963998 345927996