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34269696 = 29333767
BaseRepresentation
bin1000001010111…
…0101000000000
32101111002012000
42002232220000
532233112241
63222304000
7564200436
oct202565000
971432160
1034269696
111838736a
12b588000
13713b536
1447a0d56
15301deb6
hex20aea00

34269696 has 160 divisors (see below), whose sum is σ = 105737280. Its totient is φ = 10948608.

The previous prime is 34269679. The next prime is 34269713. The reversal of 34269696 is 69696243.

It is an interprime number because it is at equal distance from previous prime (34269679) and next prime (34269713).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511455 + ... + 511521.

It is an arithmetic number, because the mean of its divisors is an integer number (660858).

Almost surely, 234269696 is an apocalyptic number.

34269696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52868640).

34269696 is an abundant number, since it is smaller than the sum of its proper divisors (71467584).

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

34269696 is an equidigital number, since it uses as much as digits as its factorization.

34269696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 34269696 is about 5854.0324563501. The cubic root of 34269696 is about 324.8155039636.

The spelling of 34269696 in words is "thirty-four million, two hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 67 72 74 96 108 111 128 134 144 148 192 201 216 222 256 268 288 296 333 384 402 432 444 512 536 576 592 603 666 768 804 864 888 999 1072 1152 1184 1206 1332 1536 1608 1728 1776 1809 1998 2144 2304 2368 2412 2479 2664 3216 3456 3552 3618 3996 4288 4608 4736 4824 4958 5328 6432 6912 7104 7236 7437 7992 8576 9472 9648 9916 10656 12864 13824 14208 14472 14874 15984 17152 18944 19296 19832 21312 22311 25728 28416 28944 29748 31968 34304 38592 39664 42624 44622 51456 56832 57888 59496 63936 66933 77184 79328 85248 89244 102912 115776 118992 127872 133866 154368 158656 170496 178488 231552 237984 255744 267732 308736 317312 356976 463104 475968 511488 535464 634624 713952 926208 951936 1070928 1269248 1427904 1903872 2141856 2855808 3807744 4283712 5711616 8567424 11423232 17134848 34269696