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34152140 = 225112953101
BaseRepresentation
bin1000001001000…
…1111011001100
32101021002221002
42002101323030
532220332030
63215555432
7563200631
oct202217314
971232832
1034152140
1118307010
12b52bb78
1370c9b89
144770188
152ee9245
hex2091ecc

34152140 has 96 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 11648000.

The previous prime is 34152121. The next prime is 34152149. The reversal of 34152140 is 4125143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34152149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338090 + ... + 338190.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 234152140 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 34152140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).

34152140 is an abundant number, since it is smaller than the sum of its proper divisors (49128820).

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

34152140 is a wasteful number, since it uses less digits than its factorization.

34152140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 34152140 is about 5843.9832306399. The cubic root of 34152140 is about 324.4436715056.

Adding to 34152140 its reverse (4125143), we get a palindrome (38277283).

It can be divided in two parts, 3415 and 2140, that added together give a palindrome (5555).

The spelling of 34152140 in words is "thirty-four million, one hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 53 55 58 101 106 110 116 145 202 212 220 265 290 319 404 505 530 580 583 638 1010 1060 1111 1166 1276 1537 1595 2020 2222 2332 2915 2929 3074 3190 4444 5353 5555 5830 5858 6148 6380 7685 10706 11110 11660 11716 14645 15370 16907 21412 22220 26765 29290 30740 32219 33814 53530 58580 58883 64438 67628 84535 107060 117766 128876 155237 161095 169070 235532 294415 310474 322190 338140 588830 620948 644380 776185 1177660 1552370 1707607 3104740 3415214 6830428 8538035 17076070 34152140