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345650432 = 2819179397
BaseRepresentation
bin10100100110100…
…011010100000000
3220002101212020212
4110212203110000
51201441303212
654144253252
711364660131
oct2446432400
9802355225
10345650432
11168124316
1297911228
13567c24aa
1433c97c88
1520529e22
hex149a3500

345650432 has 72 divisors (see below), whose sum is σ = 732160800. Its totient is φ = 162404352.

The previous prime is 345650353. The next prime is 345650441. The reversal of 345650432 is 234056543.

It is a super-2 number, since 2×3456504322 = 238948442283573248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870458 + ... + 870854.

It is an arithmetic number, because the mean of its divisors is an integer number (10168900).

Almost surely, 2345650432 is an apocalyptic number.

345650432 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 345650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366080400).

345650432 is an abundant number, since it is smaller than the sum of its proper divisors (386510368).

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

345650432 is a wasteful number, since it uses less digits than its factorization.

345650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 345650432 is about 18591.6764171497. The cubic root of 345650432 is about 701.7983907105.

The spelling of 345650432 in words is "three hundred forty-five million, six hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 179 256 304 358 397 608 716 794 1216 1432 1588 2432 2864 3176 3401 4864 5728 6352 6802 7543 11456 12704 13604 15086 22912 25408 27208 30172 45824 50816 54416 60344 71063 101632 108832 120688 142126 217664 241376 284252 435328 482752 568504 870656 965504 1137008 1350197 1931008 2274016 2700394 4548032 5400788 9096064 10801576 18192128 21603152 43206304 86412608 172825216 345650432