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34263152 = 24721129137
BaseRepresentation
bin1000001010110…
…1000001110000
32101110202012122
42002231001300
532232410102
63222213412
7564142400
oct202550160
971422178
1034263152
1118382460
12b584268
137138571
14479c800
15301c0a2
hex20ad070

34263152 has 120 divisors (see below), whose sum is σ = 87784560. Its totient is φ = 12794880.

The previous prime is 34263149. The next prime is 34263161. The reversal of 34263152 is 25136243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250028 + ... + 250164.

It is an arithmetic number, because the mean of its divisors is an integer number (731538).

Almost surely, 234263152 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 34263152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43892280).

34263152 is an abundant number, since it is smaller than the sum of its proper divisors (53521408).

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

34263152 is a wasteful number, since it uses less digits than its factorization.

34263152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 34263152 is about 5853.4734987014. The cubic root of 34263152 is about 324.7948275038.

Adding to 34263152 its reverse (25136243), we get a palindrome (59399395).

The spelling of 34263152 in words is "thirty-four million, two hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 49 56 58 77 88 98 112 116 137 154 176 196 203 232 274 308 319 392 406 464 539 548 616 638 784 812 959 1078 1096 1232 1276 1421 1507 1624 1918 2156 2192 2233 2552 2842 3014 3248 3836 3973 4312 4466 5104 5684 6028 6713 7672 7946 8624 8932 10549 11368 12056 13426 15344 15631 15892 17864 21098 22736 24112 26852 27811 31262 31784 35728 42196 43703 53704 55622 62524 63568 73843 84392 87406 107408 111244 125048 147686 168784 174812 194677 222488 250096 295372 305921 349624 389354 444976 590744 611842 699248 778708 1181488 1223684 1557416 2141447 2447368 3114832 4282894 4894736 8565788 17131576 34263152