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34714944 = 2632115479
BaseRepresentation
bin1000010001101…
…1010101000000
32102022200221200
42010123111000
532341334234
63240021200
7601033515
oct204332500
972280850
1034714944
1118660940
12b761800
1372660b4
14487930c
1530aad99
hex211b540

34714944 has 84 divisors (see below), whose sum is σ = 108569760. Its totient is φ = 10517760.

The previous prime is 34714907. The next prime is 34714961. The reversal of 34714944 is 44941743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34714899 and 34714908.

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, 3597 + ... + 9075.

Almost surely, 234714944 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 34714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54284880).

34714944 is an abundant number, since it is smaller than the sum of its proper divisors (73854816).

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

34714944 is a wasteful number, since it uses less digits than its factorization.

34714944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5495 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34714944 is about 5891.9388998869. The cubic root of 34714944 is about 326.2161738832.

The spelling of 34714944 in words is "thirty-four million, seven hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 5479 6336 10958 16437 21916 32874 43832 49311 60269 65748 87664 98622 120538 131496 175328 180807 197244 241076 262992 350656 361614 394488 482152 525984 542421 723228 788976 964304 1051968 1084842 1446456 1577952 1928608 2169684 2892912 3155904 3857216 4339368 5785824 8678736 11571648 17357472 34714944