Search a number
-
+
353413968 = 243137223241
BaseRepresentation
bin10101000100001…
…010101101010000
3220122000021211020
4111010022231100
51210433221333
655022515440
711520653265
oct2504125520
9818007736
10353413968
11171547166
129a435b80
13582b00bb
1434d1926c
15210603b3
hex1510ab50

353413968 has 80 divisors (see below), whose sum is σ = 927607296. Its totient is φ = 115937280.

The previous prime is 353413967. The next prime is 353413987. The reversal of 353413968 is 869314353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353413967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1466328 + ... + 1466568.

Almost surely, 2353413968 is an apocalyptic number.

It is an amenable number.

353413968 is an abundant number, since it is smaller than the sum of its proper divisors (574193328).

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

353413968 is a wasteful number, since it uses less digits than its factorization.

353413968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 353413968 is about 18799.3076468257. The cubic root of 353413968 is about 707.0138205704.

The spelling of 353413968 in words is "three hundred fifty-three million, four hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 223 241 274 411 446 482 548 669 723 822 892 964 1096 1338 1446 1644 1784 1928 2192 2676 2892 3288 3568 3856 5352 5784 6576 10704 11568 30551 33017 53743 61102 66034 91653 99051 107486 122204 132068 161229 183306 198102 214972 244408 264136 322458 366612 396204 429944 488816 528272 644916 733224 792408 859888 1289832 1466448 1584816 2579664 7362791 14725582 22088373 29451164 44176746 58902328 88353492 117804656 176706984 353413968