Search a number
-
+
102704832234 = 23219691434597
BaseRepresentation
bin101111110100110101…
…1110101111011101010
3100211002200021001112100
41133221223311323222
53140314414112414
6115103144554230
710264056445524
oct1375153657352
9324080231470
10102704832234
113a614222644
1217aa3782976
1398b9cc87a4
144d84390a14
152a11926609
hex17e9af5eea

102704832234 has 48 divisors (see below), whose sum is σ = 234578616480. Its totient is φ = 32386093920.

The previous prime is 102704832229. The next prime is 102704832239. The reversal of 102704832234 is 432238407201.

It is a happy number.

102704832234 is a `hidden beast` number, since 102 + 70 + 483 + 2 + 2 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (102704832229) and next prime (102704832239).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102704832239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19024 + ... + 453620.

It is an arithmetic number, because the mean of its divisors is an integer number (4887054510).

Almost surely, 2102704832234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102704832234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117289308240).

102704832234 is an abundant number, since it is smaller than the sum of its proper divisors (131873784246).

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

102704832234 is a wasteful number, since it uses less digits than its factorization.

102704832234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435315 (or 435312 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 102704832234 in words is "one hundred two billion, seven hundred four million, eight hundred thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 691 1382 2073 4146 6219 12438 13129 26258 39387 78774 118161 236322 434597 869194 1303791 2607582 3911373 7822746 8257343 16514686 24772029 49544058 74316087 148632174 300306527 600613054 900919581 1801839162 2702758743 5405517486 5705824013 11411648026 17117472039 34234944078 51352416117 102704832234