Search a number
-
+
1234246640 = 245113134481
BaseRepresentation
bin100100110010001…
…0001101111110000
310012000110020002112
41021210101233300
510011431343030
6322250104452
742404631464
oct11144215760
93160406075
101234246640
11583777850
122a541b128
13168925373
14b9cc64a4
1573552a95
hex49911bf0

1234246640 has 80 divisors (see below), whose sum is σ = 3141200736. Its totient is φ = 447283200.

The previous prime is 1234246627. The next prime is 1234246687. The reversal of 1234246640 is 466424321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1234246597 and 1234246606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273200 + ... + 277680.

Almost surely, 21234246640 is an apocalyptic number.

1234246640 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 1234246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570600368).

1234246640 is an abundant number, since it is smaller than the sum of its proper divisors (1906954096).

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

1234246640 is a wasteful number, since it uses less digits than its factorization.

1234246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 1234246640 is about 35131.8465213544. The cubic root of 1234246640 is about 1072.6729225291.

The spelling of 1234246640 in words is "one billion, two hundred thirty-four million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 313 440 626 880 1252 1565 2504 3130 3443 4481 5008 6260 6886 8962 12520 13772 17215 17924 22405 25040 27544 34430 35848 44810 49291 55088 68860 71696 89620 98582 137720 179240 197164 246455 275440 358480 394328 492910 788656 985820 1402553 1971640 2805106 3943280 5610212 7012765 11220424 14025530 15428083 22440848 28051060 30856166 56102120 61712332 77140415 112204240 123424664 154280830 246849328 308561660 617123320 1234246640