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3435971380 = 22523241892
BaseRepresentation
bin1100110011001100…
…1100001100110100
322212110101102122021
43030303030030310
524014102041010
61324540442524
7151101163162
oct31463141464
98773342567
103435971380
111503575176
127ba849444
13429b0ba7a
14248492232
151519b08da
hexccccc334

3435971380 has 108 divisors (see below), whose sum is σ = 7814666412. Its totient is φ = 1268157440.

The previous prime is 3435971353. The next prime is 3435971387. The reversal of 3435971380 is 831795343.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1374629776 + 2061341604 = 37076^2 + 45402^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435971387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38606376 + ... + 38606464.

Almost surely, 23435971380 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 3435971380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907333206).

3435971380 is an abundant number, since it is smaller than the sum of its proper divisors (4378695032).

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

3435971380 is a wasteful number, since it uses less digits than its factorization.

3435971380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 3435971380 is about 58617.1594330534. The cubic root of 3435971380 is about 1508.9789421914.

The spelling of 3435971380 in words is "three billion, four hundred thirty-five million, nine hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 41 46 82 89 92 115 164 178 205 230 356 410 445 460 529 820 890 943 1058 1780 1886 2047 2116 2645 3649 3772 4094 4715 5290 7298 7921 8188 9430 10235 10580 14596 15842 18245 18860 20470 21689 31684 36490 39605 40940 43378 47081 72980 79210 83927 86756 94162 108445 158420 167854 182183 188324 216890 235405 324761 335708 364366 419635 433780 470810 649522 728732 839270 910915 941620 1299044 1623805 1678540 1821830 1930321 3247610 3643660 3860642 4190209 6495220 7469503 7721284 8380418 9651605 14939006 16760836 19303210 20951045 29878012 37347515 38606420 41902090 74695030 83804180 149390060 171798569 343597138 687194276 858992845 1717985690 3435971380