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34531896 = 233717107113
BaseRepresentation
bin1000001110111…
…0101000111000
32101222101212010
42003232220320
532320010041
63232045520
7566342040
oct203565070
971871763
1034531896
1118546363
12b6938a0
137200999
14482c720
153071a16
hex20eea38

34531896 has 128 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 9117696.

The previous prime is 34531891. The next prime is 34531951. The reversal of 34531896 is 69813543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34531891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305536 + ... + 305648.

It is an arithmetic number, because the mean of its divisors is an integer number (831060).

Almost surely, 234531896 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 34531896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53187840).

34531896 is an abundant number, since it is smaller than the sum of its proper divisors (71843784).

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

34531896 is a wasteful number, since it uses less digits than its factorization.

34531896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 34531896 is about 5876.3846027979. The cubic root of 34531896 is about 325.6417960742.

The spelling of 34531896 in words is "thirty-four million, five hundred thirty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 107 113 119 136 168 204 214 226 238 321 339 357 408 428 452 476 642 678 714 749 791 856 904 952 1284 1356 1428 1498 1582 1819 1921 2247 2373 2568 2712 2856 2996 3164 3638 3842 4494 4746 5457 5763 5992 6328 7276 7684 8988 9492 10914 11526 12091 12733 13447 14552 15368 17976 18984 21828 23052 24182 25466 26894 36273 38199 40341 43656 46104 48364 50932 53788 72546 76398 80682 84637 96728 101864 107576 145092 152796 161364 169274 205547 253911 290184 305592 322728 338548 411094 507822 616641 677096 822188 1015644 1233282 1438829 1644376 2031288 2466564 2877658 4316487 4933128 5755316 8632974 11510632 17265948 34531896