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153352340 = 22589101853
BaseRepresentation
bin10010010001111…
…11100010010100
3101200120002212022
421020333202110
5303224233330
623114512312
73541321241
oct1110774224
9350502768
10153352340
1179621979
1243435698
1325a03a3b
141651c5c8
15d6e2ae5
hex923f894

153352340 has 48 divisors (see below), whose sum is σ = 329268240. Its totient is φ = 59980800.

The previous prime is 153352337. The next prime is 153352357. The reversal of 153352340 is 43253351.

It can be written as a sum of positive squares in 8 ways, for example, as 6990736 + 146361604 = 2644^2 + 12098^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179354 + ... + 180206.

It is an arithmetic number, because the mean of its divisors is an integer number (6859755).

Almost surely, 2153352340 is an apocalyptic number.

153352340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153352340 is an abundant number, since it is smaller than the sum of its proper divisors (175915900).

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

153352340 is a wasteful number, since it uses less digits than its factorization.

153352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 153352340 is about 12383.5511869576. The cubic root of 153352340 is about 535.2583723050.

The spelling of 153352340 in words is "one hundred fifty-three million, three hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 89 101 178 202 356 404 445 505 853 890 1010 1706 1780 2020 3412 4265 8530 8989 17060 17978 35956 44945 75917 86153 89890 151834 172306 179780 303668 344612 379585 430765 759170 861530 1518340 1723060 7667617 15335234 30670468 38338085 76676170 153352340