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3452373090 = 234517409613
BaseRepresentation
bin1100110111000111…
…0000100001100010
322220121020201120000
43031301300201202
524032301414330
61330324200430
7151360454445
oct31561604142
98817221500
103452373090
111511858001
12804239116
1343033241a
1424a72165c
15153150560
hexcdc70862

3452373090 has 160 divisors (see below), whose sum is σ = 9869214960. Its totient is φ = 862949376.

The previous prime is 3452373059. The next prime is 3452373091. The reversal of 3452373090 is 903732543.

3452373090 is a `hidden beast` number, since 345 + 2 + 3 + 7 + 309 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1576010601 + 1876362489 = 39699^2 + 43317^2 .

It is a super-2 number, since 2×34523730902 = 23837759905112296200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3452373091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5631624 + ... + 5632236.

Almost surely, 23452373090 is an apocalyptic number.

3452373090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3452373090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934607480).

3452373090 is an abundant number, since it is smaller than the sum of its proper divisors (6416841870).

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

3452373090 is a wasteful number, since it uses less digits than its factorization.

3452373090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3452373090 is about 58756.8982333138. The cubic root of 3452373090 is about 1511.3761835172.

The spelling of 3452373090 in words is "three billion, four hundred fifty-two million, three hundred seventy-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 409 459 510 613 765 810 818 918 1226 1227 1377 1530 1839 2045 2295 2454 2754 3065 3678 3681 4090 4590 5517 6130 6135 6885 6953 7362 9195 10421 11034 11043 12270 13770 13906 16551 18390 18405 20842 20859 22086 27585 31263 33102 33129 34765 36810 41718 49653 52105 55170 55215 62526 62577 66258 69530 82755 93789 99306 104210 104295 110430 125154 156315 165510 165645 187578 187731 208590 248265 250717 281367 312630 312885 331290 375462 468945 496530 501434 562734 563193 625770 752151 844101 937890 938655 1126386 1253585 1406835 1504302 1688202 1877310 2256453 2507170 2813670 2815965 3760755 4220505 4262189 4512906 5631930 6769359 7521510 8441010 8524378 11282265 12786567 13538718 20308077 21310945 22564530 25573134 33846795 38359701 40616154 42621890 63932835 67693590 76719402 101540385 115079103 127865670 191798505 203080770 230158206 345237309 383597010 575395515 690474618 1150791030 1726186545 3452373090