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34570368 = 273371429
BaseRepresentation
bin1000001111100…
…0000010000000
32102001100122000
42003320002000
532322222433
63232544000
7566562150
oct203700200
972040560
1034570368
1118572258
12b6b2000
137215351
14483c760
15307d113
hex20f8080

34570368 has 128 divisors (see below), whose sum is σ = 116688000. Its totient is φ = 9870336.

The previous prime is 34570337. The next prime is 34570369. The reversal of 34570368 is 86307543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×345703682 = 2390220687310848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34570369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23478 + ... + 24906.

It is an arithmetic number, because the mean of its divisors is an integer number (911625).

Almost surely, 234570368 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 34570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58344000).

34570368 is an abundant number, since it is smaller than the sum of its proper divisors (82117632).

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

34570368 is a wasteful number, since it uses less digits than its factorization.

34570368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34570368 is about 5879.6571328607. The cubic root of 34570368 is about 325.7626837460.

The spelling of 34570368 in words is "thirty-four million, five hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1429 1512 1728 2016 2688 2858 3024 3456 4032 4287 5716 6048 8064 8574 10003 11432 12096 12861 17148 20006 22864 24192 25722 30009 34296 38583 40012 45728 51444 60018 68592 77166 80024 90027 91456 102888 120036 137184 154332 160048 180054 182912 205776 240072 270081 274368 308664 320096 360108 411552 480144 540162 548736 617328 640192 720216 823104 960288 1080324 1234656 1280384 1440432 1646208 1920576 2160648 2469312 2880864 3841152 4321296 4938624 5761728 8642592 11523456 17285184 34570368