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349729488 = 2435293307
BaseRepresentation
bin10100110110000…
…111001011010000
3220101002002200000
4110312013023100
51204012320423
654411530000
711444436333
oct2466071320
9811062600
10349729488
1116a45aa39
1299159900
13575c0034
143463a61a
1520a83843
hex14d872d0

349729488 has 120 divisors (see below), whose sum is σ = 1021788768. Its totient is φ = 115800192.

The previous prime is 349729483. The next prime is 349729489. The reversal of 349729488 is 884927943.

349729488 is a `hidden beast` number, since 349 + 7 + 294 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349729483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139031 + ... + 1139337.

Almost surely, 2349729488 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 349729488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510894384).

349729488 is an abundant number, since it is smaller than the sum of its proper divisors (672059280).

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

349729488 is a wasteful number, since it uses less digits than its factorization.

349729488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 349729488 is about 18701.0557990719. The cubic root of 349729488 is about 704.5482665182.

The spelling of 349729488 in words is "three hundred forty-nine million, seven hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 293 307 324 432 486 586 614 648 879 921 972 1172 1228 1296 1758 1842 1944 2344 2456 2637 2763 3516 3684 3888 4688 4912 5274 5526 7032 7368 7911 8289 10548 11052 14064 14736 15822 16578 21096 22104 23733 24867 31644 33156 42192 44208 47466 49734 63288 66312 71199 74601 89951 94932 99468 126576 132624 142398 149202 179902 189864 198936 269853 284796 298404 359804 379728 397872 539706 569592 596808 719608 809559 1079412 1139184 1193616 1439216 1619118 2158824 2428677 3238236 4317648 4857354 6476472 7286031 9714708 12952944 14572062 19429416 21858093 29144124 38858832 43716186 58288248 87432372 116576496 174864744 349729488