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34940224 = 2611311601
BaseRepresentation
bin1000010101001…
…0010101000000
32102202010222101
42011102111000
532421041344
63244520144
7602662354
oct205222500
972663871
1034940224
11187a5120
12b850054
1373147b7
1448d7464
1531029d4
hex2152540

34940224 has 56 divisors (see below), whose sum is σ = 78126336. Its totient is φ = 15360000.

The previous prime is 34940207. The next prime is 34940233. The reversal of 34940224 is 42204943.

It is a junction number, because it is equal to n+sod(n) for n = 34940192 and 34940201.

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, 21024 + ... + 22624.

Almost surely, 234940224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39063168).

34940224 is an abundant number, since it is smaller than the sum of its proper divisors (43186112).

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

34940224 is a wasteful number, since it uses less digits than its factorization.

34940224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 34940224 is about 5911.0256301255. The cubic root of 34940224 is about 326.9203046565.

The spelling of 34940224 in words is "thirty-four million, nine hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1601 1984 2728 3202 5456 6404 10912 12808 17611 21824 25616 35222 49631 51232 70444 99262 102464 140888 198524 281776 397048 545941 563552 794096 1091882 1127104 1588192 2183764 3176384 4367528 8735056 17470112 34940224