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34898076 = 223217127449
BaseRepresentation
bin1000010100100…
…0000010011100
32102200000011100
42011020002130
532413214301
63243553100
7602425443
oct205100234
972600140
1034898076
1118776494
12b82b790
1372cb565
1448c5d5a
1530e5286
hex214809c

34898076 has 72 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 10838016.

The previous prime is 34898051. The next prime is 34898099. The reversal of 34898076 is 67089843.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 77500 + ... + 77948.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 234898076 is an apocalyptic number.

34898076 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 34898076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

34898076 is an abundant number, since it is smaller than the sum of its proper divisors (59450724).

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

34898076 is a wasteful number, since it uses less digits than its factorization.

34898076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 34898076 is about 5907.4593523781. The cubic root of 34898076 is about 326.7887983328.

The spelling of 34898076 in words is "thirty-four million, eight hundred ninety-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 127 153 204 254 306 381 449 508 612 762 898 1143 1347 1524 1796 2159 2286 2694 4041 4318 4572 5388 6477 7633 8082 8636 12954 15266 16164 19431 22899 25908 30532 38862 45798 57023 68697 77724 91596 114046 137394 171069 228092 274788 342138 513207 684276 969391 1026414 1938782 2052828 2908173 3877564 5816346 8724519 11632692 17449038 34898076