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34988070 = 23513267103
BaseRepresentation
bin1000010101111…
…0000000100110
32102211120121110
42011132000212
532424104240
63245525450
7603252015
oct205360046
972746543
1034988070
1118828067
12b873886
137330500
14490aa7c
153111c80
hex215e026

34988070 has 96 divisors (see below), whose sum is σ = 93180672. Its totient is φ = 8401536.

The previous prime is 34988033. The next prime is 34988071. The reversal of 34988070 is 7088943.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34988071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339639 + ... + 339741.

It is an arithmetic number, because the mean of its divisors is an integer number (970632).

Almost surely, 234988070 is an apocalyptic number.

34988070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34988070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46590336).

34988070 is an abundant number, since it is smaller than the sum of its proper divisors (58192602).

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

34988070 is a wasteful number, since it uses less digits than its factorization.

34988070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 34988070 is about 5915.0714281402. The cubic root of 34988070 is about 327.0694612515.

34988070 divided by its sum of digits (39) gives a triangular number (897130 = T1339).

The spelling of 34988070 in words is "thirty-four million, nine hundred eighty-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 103 130 134 169 195 201 206 309 335 338 390 402 507 515 618 670 845 871 1005 1014 1030 1339 1545 1690 1742 2010 2535 2613 2678 3090 4017 4355 5070 5226 6695 6901 8034 8710 11323 13065 13390 13802 17407 20085 20703 22646 26130 33969 34505 34814 40170 41406 52221 56615 67938 69010 87035 89713 103515 104442 113230 169845 174070 179426 207030 261105 269139 339690 448565 522210 538278 897130 1166269 1345695 2332538 2691390 3498807 5831345 6997614 11662690 17494035 34988070