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345503232 = 29352777
BaseRepresentation
bin10100100101111…
…111011000000000
3220002010101100000
4110211333120000
51201422100412
654141200000
711363505024
oct2445773000
9802111300
10345503232
11168033768
1297860000
13567704a9
1433c5a384
15204eb4dc
hex1497f600

345503232 has 120 divisors (see below), whose sum is σ = 1034449416. Its totient is φ = 115126272.

The previous prime is 345503219. The next prime is 345503267. The reversal of 345503232 is 232305543.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 345503196 and 345503205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123028 + ... + 125804.

Almost surely, 2345503232 is an apocalyptic number.

345503232 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 345503232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517224708).

345503232 is an abundant number, since it is smaller than the sum of its proper divisors (688946184).

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

345503232 is an frugal number, since it uses more digits than its factorization.

345503232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 345503232 is about 18587.7172347763. The cubic root of 345503232 is about 701.6987530597.

Adding to 345503232 its reverse (232305543), we get a palindrome (577808775).

The spelling of 345503232 in words is "three hundred forty-five million, five hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 2777 3456 3888 4608 5184 5554 6912 7776 8331 10368 11108 13824 15552 16662 20736 22216 24993 31104 33324 41472 44432 49986 62208 66648 74979 88864 99972 124416 133296 149958 177728 199944 224937 266592 299916 355456 399888 449874 533184 599832 674811 710912 799776 899748 1066368 1199664 1349622 1421824 1599552 1799496 2132736 2399328 2699244 3199104 3598992 4265472 4798656 5398488 6398208 7197984 9597312 10796976 12796416 14395968 19194624 21593952 28791936 38389248 43187904 57583872 86375808 115167744 172751616 345503232