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1214888340 = 2235173732191
BaseRepresentation
bin100100001101001…
…1011100110010100
310010200000201111110
41020122123212110
54442002411330
6320315135020
742051244341
oct11032334624
93120021443
101214888340
11573855656
1229aa44470
13164908053
14b74c77c8
15719cbdb0
hex4869b994

1214888340 has 96 divisors (see below), whose sum is σ = 3699247104. Its totient is φ = 296663040.

The previous prime is 1214888327. The next prime is 1214888341. The reversal of 1214888340 is 438884121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214888341) 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, 21645 + ... + 53835.

It is an arithmetic number, because the mean of its divisors is an integer number (38533824).

Almost surely, 21214888340 is an apocalyptic number.

1214888340 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 1214888340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849623552).

1214888340 is an abundant number, since it is smaller than the sum of its proper divisors (2484358764).

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

1214888340 is a wasteful number, since it uses less digits than its factorization.

1214888340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32257 (or 32255 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 1214888340 is about 34855.2483852863. The cubic root of 1214888340 is about 1067.0353020570.

The spelling of 1214888340 in words is "one billion, two hundred fourteen million, eight hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6290 7548 9435 12580 18870 32191 37740 64382 96573 128764 160955 193146 321910 386292 482865 547247 643820 965730 1094494 1191067 1641741 1931460 2188988 2382134 2736235 3283482 3573201 4764268 5472470 5955335 6566964 7146402 8208705 10944940 11910670 14292804 16417410 17866005 20248139 23821340 32834820 35732010 40496278 60744417 71464020 80992556 101240695 121488834 202481390 242977668 303722085 404962780 607444170 1214888340