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34630720 = 265313491
BaseRepresentation
bin1000010000011…
…0110001000000
32102011102102021
42010012301000
532331140340
63234131224
7600233125
oct204066100
972142367
1034630720
1118603633
12b720b14
137236967
14485674c
153090e4a
hex2106c40

34630720 has 56 divisors (see below), whose sum is σ = 85148928. Its totient is φ = 13401600.

The previous prime is 34630703. The next prime is 34630753. The reversal of 34630720 is 2703643.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8175 + ... + 11665.

Almost surely, 234630720 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 34630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42574464).

34630720 is an abundant number, since it is smaller than the sum of its proper divisors (50518208).

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

34630720 is a wasteful number, since it uses less digits than its factorization.

34630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 34630720 is about 5884.7871669246. The cubic root of 34630720 is about 325.9521427233.

The spelling of 34630720 in words is "thirty-four million, six hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 3491 4960 6982 9920 13964 17455 27928 34910 55856 69820 108221 111712 139640 216442 223424 279280 432884 541105 558560 865768 1082210 1117120 1731536 2164420 3463072 4328840 6926144 8657680 17315360 34630720