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34868208 = 2432937677
BaseRepresentation
bin1000010100000…
…0101111110000
32102121111012010
42011000233300
532411240313
63243202520
7602242404
oct205005760
972544163
1034868208
1118756001
12b816440
1372baa9b
1448b9104
1530db4c3
hex2140bf0

34868208 has 80 divisors (see below), whose sum is σ = 95842080. Its totient is φ = 10902528.

The previous prime is 34868201. The next prime is 34868243. The reversal of 34868208 is 80286843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34868201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51166 + ... + 51842.

It is an arithmetic number, because the mean of its divisors is an integer number (1198026).

Almost surely, 234868208 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 34868208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47921040).

34868208 is an abundant number, since it is smaller than the sum of its proper divisors (60973872).

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

34868208 is a wasteful number, since it uses less digits than its factorization.

34868208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 34868208 is about 5904.9308209326. The cubic root of 34868208 is about 326.6955428220.

It can be divided in two parts, 348 and 68208, that multiplied together give a square (23736384 = 48722).

The spelling of 34868208 in words is "thirty-four million, eight hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 296 348 444 464 592 677 696 888 1073 1354 1392 1776 2031 2146 2708 3219 4062 4292 5416 6438 8124 8584 10832 12876 16248 17168 19633 25049 25752 32496 39266 50098 51504 58899 75147 78532 100196 117798 150294 157064 200392 235596 300588 314128 400784 471192 601176 726421 942384 1202352 1452842 2179263 2905684 4358526 5811368 8717052 11622736 17434104 34868208