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3945671352 = 233473592423
BaseRepresentation
bin1110101100101110…
…0010101010111000
3101011222110212120000
43223023202222320
531040042440402
61451305233000
7166530440010
oct35313425270
911158425500
103945671352
111745257317
12921492760
134ab5abc9c
14296050c40
151815e2c1c
hexeb2e2ab8

3945671352 has 160 divisors (see below), whose sum is σ = 12670732800. Its totient is φ = 1123730496.

The previous prime is 3945671333. The next prime is 3945671393. The reversal of 3945671352 is 2531765493.

3945671352 is a `hidden beast` number, since 39 + 4 + 567 + 1 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3945671298 and 3945671307.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1627213 + ... + 1629635.

It is an arithmetic number, because the mean of its divisors is an integer number (79192080).

Almost surely, 23945671352 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 3945671352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335366400).

3945671352 is an abundant number, since it is smaller than the sum of its proper divisors (8725061448).

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

3945671352 is a wasteful number, since it uses less digits than its factorization.

3945671352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2794 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 3945671352 is about 62814.5791357389. The cubic root of 3945671352 is about 1580.1814874579.

The spelling of 3945671352 in words is "three billion, nine hundred forty-five million, six hundred seventy-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 359 378 504 567 648 718 756 1077 1134 1436 1512 2154 2268 2423 2513 2872 3231 4308 4536 4846 5026 6462 7269 7539 8616 9692 9693 10052 12924 14538 15078 16961 19384 19386 20104 21807 22617 25848 29076 29079 30156 33922 38772 43614 45234 50883 58152 58158 60312 65421 67844 67851 77544 87228 90468 101766 116316 130842 135688 135702 152649 174456 180936 196263 203532 203553 232632 261684 271404 305298 392526 407064 407106 457947 523368 542808 610596 785052 814212 869857 915894 1221192 1373841 1570104 1628424 1739714 1831788 2609571 2747682 3479428 3663576 5219142 5495364 6088999 6958856 7828713 10438284 10990728 12177998 15657426 18266997 20876568 23486139 24355996 31314852 36533994 46972278 48711992 54800991 62629704 70458417 73067988 93944556 109601982 140916834 146135976 164402973 187889112 219203964 281833668 328805946 438407928 493208919 563667336 657611892 986417838 1315223784 1972835676 3945671352