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3445144524 = 22321923321617
BaseRepresentation
bin1100110101011000…
…1011101111001100
322220002122110211100
43031112023233030
524023424111044
61325505223100
7151242150063
oct31526135714
98802573740
103445144524
111508770088
12801931a90
1342b9a1173
1424979d1da
151526c3869
hexcd58bbcc

3445144524 has 72 divisors (see below), whose sum is σ = 9206673840. Its totient is φ = 1083220992.

The previous prime is 3445144511. The next prime is 3445144561. The reversal of 3445144524 is 4254415443.

3445144524 is a `hidden beast` number, since 3 + 44 + 51 + 44 + 524 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148564 + ... + 170180.

It is an arithmetic number, because the mean of its divisors is an integer number (127870470).

Almost surely, 23445144524 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 3445144524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603336920).

3445144524 is an abundant number, since it is smaller than the sum of its proper divisors (5761529316).

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

3445144524 is a wasteful number, since it uses less digits than its factorization.

3445144524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21879 (or 21874 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 3445144524 is about 58695.3535128633. The cubic root of 3445144524 is about 1510.3206085010.

Adding to 3445144524 its reverse (4254415443), we get a palindrome (7699559967).

The spelling of 3445144524 in words is "three billion, four hundred forty-five million, one hundred forty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 233 342 466 684 699 932 1398 2097 2796 4194 4427 8388 8854 13281 17708 21617 26562 39843 43234 53124 64851 79686 86468 129702 159372 194553 259404 389106 410723 778212 821446 1232169 1642892 2464338 3696507 4928676 5036761 7393014 10073522 14786028 15110283 20147044 30220566 45330849 60441132 90661698 95698459 181323396 191396918 287095377 382793836 574190754 861286131 1148381508 1722572262 3445144524