Search a number
-
+
348852367952 = 241131317201701
BaseRepresentation
bin1010001001110010011…
…10001011001001010000
31020100110010021110011022
411010321032023021100
521203422201233302
6424132140535012
734126613126144
oct5047116131120
91210403243138
10348852367952
11124a47081410
1257739b51468
1326b86bb12ca
1412c55295224
15911b40e8a2
hex513938b250

348852367952 has 80 divisors (see below), whose sum is σ = 763537273344. Its totient is φ = 152969280000.

The previous prime is 348852367951. The next prime is 348852367967. The reversal of 348852367952 is 259763258843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348852367951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1628702 + ... + 1830402.

Almost surely, 2348852367952 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 348852367952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381768636672).

348852367952 is an abundant number, since it is smaller than the sum of its proper divisors (414684905392).

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

348852367952 is a wasteful number, since it uses less digits than its factorization.

348852367952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202068 (or 202062 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 62.

The spelling of 348852367952 in words is "three hundred forty-eight billion, eight hundred fifty-two million, three hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 317 341 496 634 682 1268 1364 2536 2728 3487 5072 5456 6974 9827 13948 19654 27896 39308 55792 78616 108097 157232 201701 216194 403402 432388 806804 864776 1613608 1729552 2218711 3227216 4437422 6252731 8874844 12505462 17749688 25010924 35499376 50021848 63939217 68780041 100043696 127878434 137560082 255756868 275120164 511513736 550240328 703331387 1023027472 1100480656 1406662774 1982115727 2813325548 3964231454 5626651096 7928462908 11253302192 15856925816 21803272997 31713851632 43606545994 87213091988 174426183976 348852367952