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3435970000 = 24542314939
BaseRepresentation
bin1100110011001100…
…1011110111010000
322212110101100202011
43030303023313100
524014102020000
61324540432304
7151101156151
oct31463136720
98773340664
103435970000
111503574131
127ba848694
13429b0b258
14248491928
151519b02ba
hexccccbdd0

3435970000 has 100 divisors (see below), whose sum is σ = 8681096160. Its totient is φ = 1314544000.

The previous prime is 3435969991. The next prime is 3435970003. The reversal of 3435970000 is 795343.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435970003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222531 + ... + 237469.

Almost surely, 23435970000 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 3435970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340548080).

3435970000 is an abundant number, since it is smaller than the sum of its proper divisors (5245126160).

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

3435970000 is a wasteful number, since it uses less digits than its factorization.

3435970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14990 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 3435970000 is about 58617.1476617551. The cubic root of 3435970000 is about 1508.9787401727.

The spelling of 3435970000 in words is "three billion, four hundred thirty-five million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 14939 23000 28750 29878 46000 57500 59756 74695 115000 119512 149390 230000 239024 298780 343597 373475 597560 687194 746950 1195120 1374388 1493900 1717985 1867375 2748776 2987800 3435970 3734750 5497552 5975600 6871940 7469500 8589925 9336875 13743880 14939000 17179850 18673750 27487760 29878000 34359700 37347500 42949625 68719400 74695000 85899250 137438800 149390000 171798500 214748125 343597000 429496250 687194000 858992500 1717985000 3435970000