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235134630 = 23353723537
BaseRepresentation
bin11100000001111…
…01111010100110
3121101110002002000
432000331322212
5440143302010
635155430130
75553416463
oct1600757246
9541402060
10235134630
11110800145
12668b5346
1339939423
142332a66a
15159997c0
hexe03dea6

235134630 has 64 divisors (see below), whose sum is σ = 643999680. Its totient is φ = 61005312.

The previous prime is 235134629. The next prime is 235134637. The reversal of 235134630 is 36431532.

It is a happy number.

235134630 is a `hidden beast` number, since 23 + 5 + 1 + 3 + 4 + 630 = 666.

It is a super-4 number, since 4×2351346304 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 235134594 and 235134603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235134637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779 + ... + 21758.

It is an arithmetic number, because the mean of its divisors is an integer number (10062495).

Almost surely, 2235134630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235134630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321999840).

235134630 is an abundant number, since it is smaller than the sum of its proper divisors (408865050).

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

235134630 is a wasteful number, since it uses less digits than its factorization.

235134630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23590 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 235134630 is about 15334.1002344448. The cubic root of 235134630 is about 617.2184011084.

The spelling of 235134630 in words is "two hundred thirty-five million, one hundred thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 23537 47074 70611 117685 141222 211833 235370 353055 423666 635499 706110 870869 1059165 1270998 1741738 2118330 2612607 3177495 4354345 5225214 6354990 7837821 8708690 13063035 15675642 23513463 26126070 39189105 47026926 78378210 117567315 235134630