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145568340 = 22345591523
BaseRepresentation
bin10001010110100…
…11001001010100
3101010220122020000
420223103021110
5244231141330
622240011300
73415211331
oct1053231124
9333818200
10145568340
1175195715
1240900b30
1324209a18
1415493988
15cba6560
hex8ad3254

145568340 has 120 divisors (see below), whose sum is σ = 464698080. Its totient is φ = 38135232.

The previous prime is 145568321. The next prime is 145568341. The reversal of 145568340 is 43865541.

It is a happy number.

It is a super-2 number, since 2×1455683402 = 42380283220711200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145568295 and 145568304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145568341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94819 + ... + 96341.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484).

Almost surely, 2145568340 is an apocalyptic number.

145568340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145568340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232349040).

145568340 is an abundant number, since it is smaller than the sum of its proper divisors (319129740).

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

145568340 is a wasteful number, since it uses less digits than its factorization.

145568340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 145568340 is about 12065.1705333990. The cubic root of 145568340 is about 526.0442887525.

The spelling of 145568340 in words is "one hundred forty-five million, five hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 531 540 590 708 810 885 1062 1180 1523 1593 1620 1770 2124 2655 3046 3186 3540 4569 4779 5310 6092 6372 7615 7965 9138 9558 10620 13707 15230 15930 18276 19116 22845 23895 27414 30460 31860 41121 45690 47790 54828 68535 82242 89857 91380 95580 123363 137070 164484 179714 205605 246726 269571 274140 359428 411210 449285 493452 539142 616815 808713 822420 898570 1078284 1233630 1347855 1617426 1797140 2426139 2467260 2695710 3234852 4043565 4852278 5391420 7278417 8087130 9704556 12130695 14556834 16174260 24261390 29113668 36392085 48522780 72784170 145568340