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34124202 = 23271789179
BaseRepresentation
bin1000001000101…
…1000110101010
32101012200121100
42002023012222
532213433302
63215222230
7563023320
oct202130652
971180540
1034124202
1118298022
12b517976
1370ba248
144763d10
152ee0d1c
hex208b1aa

34124202 has 96 divisors (see below), whose sum is σ = 90979200. Its totient is φ = 9022464.

The previous prime is 34124201. The next prime is 34124221. The reversal of 34124202 is 20242143.

It is a super-2 number, since 2×341242022 = 2328922324273608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34124201) 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, 190549 + ... + 190727.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 234124202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489600).

34124202 is an abundant number, since it is smaller than the sum of its proper divisors (56854998).

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

34124202 is a wasteful number, since it uses less digits than its factorization.

34124202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34124202 is about 5841.5924198800. The cubic root of 34124202 is about 324.3551774894.

Adding to 34124202 its reverse (20242143), we get a palindrome (54366345).

The spelling of 34124202 in words is "thirty-four million, one hundred twenty-four thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 89 102 119 126 153 178 179 238 267 306 357 358 534 537 623 714 801 1071 1074 1246 1253 1513 1602 1611 1869 2142 2506 3026 3043 3222 3738 3759 4539 5607 6086 7518 9078 9129 10591 11214 11277 13617 15931 18258 21182 21301 22554 27234 27387 31773 31862 42602 47793 54774 63546 63903 95319 95586 111517 127806 143379 190638 191709 223034 270827 286758 334551 383418 541654 669102 812481 1003653 1624962 1895789 2007306 2437443 3791578 4874886 5687367 11374734 17062101 34124202