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34231008 = 2537219383
BaseRepresentation
bin1000001010010…
…1001011100000
32101102010010010
42002211023200
532230343013
63221404520
7563646600
oct202451340
971363103
1034231008
1118360299
12b569740
137126a46
144790c00
1530127c3
hex20a52e0

34231008 has 144 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 9241344.

The previous prime is 34231007. The next prime is 34231019. The reversal of 34231008 is 80013243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89185 + ... + 89567.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 234231008 is an apocalyptic number.

34231008 is a gapful number since it is divisible by the number (38) 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 34231008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

34231008 is an abundant number, since it is smaller than the sum of its proper divisors (76084512).

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

34231008 is a wasteful number, since it uses less digits than its factorization.

34231008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34231008 is about 5850.7271342971. The cubic root of 34231008 is about 324.6932268935.

The spelling of 34231008 in words is "thirty-four million, two hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 383 392 399 456 532 588 608 672 766 784 798 912 931 1064 1149 1176 1532 1568 1596 1824 1862 2128 2298 2352 2681 2793 3064 3192 3724 4256 4596 4704 5362 5586 6128 6384 7277 7448 8043 9192 10724 11172 12256 12768 14554 14896 16086 18384 18767 21448 21831 22344 29108 29792 32172 36768 37534 42896 43662 44688 50939 56301 58216 64344 75068 85792 87324 89376 101878 112602 116432 128688 150136 152817 174648 203756 225204 232864 257376 300272 305634 349296 356573 407512 450408 600544 611268 698592 713146 815024 900816 1069719 1222536 1426292 1630048 1801632 2139438 2445072 2852584 4278876 4890144 5705168 8557752 11410336 17115504 34231008