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3413348532 = 2233112269971
BaseRepresentation
bin1100101101110011…
…1001000010110100
322210212211001221000
43023130321002310
523442304123112
61322411523300
7150404661306
oct31334710264
98725731830
103413348532
1114a1823300
127b3159530
1342521a879
14245483976
1514e9e27dc
hexcb7390b4

3413348532 has 144 divisors (see below), whose sum is σ = 9773265600. Its totient is φ = 1029441600.

The previous prime is 3413348503. The next prime is 3413348551. The reversal of 3413348532 is 2358433143.

3413348532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3514807 + ... + 3515777.

It is an arithmetic number, because the mean of its divisors is an integer number (67869900).

Almost surely, 23413348532 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 3413348532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886632800).

3413348532 is an abundant number, since it is smaller than the sum of its proper divisors (6359917068).

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

3413348532 is a wasteful number, since it uses less digits than its factorization.

3413348532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1256 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3413348532 is about 58423.8695397694. The cubic root of 3413348532 is about 1505.6598809708.

It can be divided in two parts, 341334 and 8532, that added together give a triangular number (349866 = T836).

The spelling of 3413348532 in words is "three billion, four hundred thirteen million, three hundred forty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 269 297 363 396 484 538 594 726 807 971 1076 1089 1188 1452 1614 1942 2178 2421 2913 2959 3228 3267 3884 4356 4842 5826 5918 6534 7263 8739 8877 9684 10681 11652 11836 13068 14526 17478 17754 21362 26217 26631 29052 32043 32549 34956 35508 42724 52434 53262 64086 65098 79893 96129 97647 104868 106524 117491 128172 130196 159786 192258 195294 234982 261199 288387 292941 319572 352473 384516 390588 469964 522398 576774 585882 704946 783597 878823 1044796 1057419 1153548 1171764 1409892 1567194 1757646 2114838 2350791 2873189 3134388 3172257 3515292 4229676 4701582 5746378 6344514 7052373 8619567 9403164 11492756 12689028 14104746 17239134 25858701 28209492 31605079 34478268 51717402 63210158 77576103 94815237 103434804 126420316 155152206 189630474 284445711 310304412 379260948 568891422 853337133 1137782844 1706674266 3413348532