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345154432 = 2772113487
BaseRepresentation
bin10100100100101…
…010001110000000
3220001110122212111
4110210222032000
51201324420212
654125505104
711360523100
oct2444521600
9801418774
10345154432
111679156a7
1297712194
135667a7bc
1433ba9200
152047cea7
hex1492a380

345154432 has 96 divisors (see below), whose sum is σ = 808611120. Its totient is φ = 146313216.

The previous prime is 345154429. The next prime is 345154457. The reversal of 345154432 is 234451543.

It is a junction number, because it is equal to n+sod(n) for n = 345154394 and 345154403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708493 + ... + 708979.

Almost surely, 2345154432 is an apocalyptic number.

345154432 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 345154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404305560).

345154432 is an abundant number, since it is smaller than the sum of its proper divisors (463456688).

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

345154432 is a wasteful number, since it uses less digits than its factorization.

345154432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 609 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 345154432 is about 18578.3323255883. The cubic root of 345154432 is about 701.4625421155.

The spelling of 345154432 in words is "three hundred forty-five million, one hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 196 224 226 392 448 452 487 784 791 896 904 974 1568 1582 1808 1948 3136 3164 3409 3616 3896 5537 6272 6328 6818 7232 7792 11074 12656 13636 14464 15584 22148 23863 25312 27272 31168 44296 47726 50624 54544 55031 62336 88592 95452 101248 109088 110062 177184 190904 218176 220124 354368 381808 385217 436352 440248 708736 763616 770434 880496 1527232 1540868 1760992 2696519 3054464 3081736 3521984 5393038 6163472 7043968 10786076 12326944 21572152 24653888 43144304 49307776 86288608 172577216 345154432