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344714964 = 2231121991193
BaseRepresentation
bin10100100010111…
…110111011010100
3220000122100000220
4110202332323110
51201221334324
654112234340
711354012616
oct2442767324
9800570026
10344714964
11167645500
129753b9b0
1356555769
1433ad2db6
15203e2b79
hex148beed4

344714964 has 72 divisors (see below), whose sum is σ = 889291200. Its totient is φ = 103847040.

The previous prime is 344714963. The next prime is 344714971. The reversal of 344714964 is 469417443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344714963) 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, 288352 + ... + 289544.

Almost surely, 2344714964 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 344714964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444645600).

344714964 is an abundant number, since it is smaller than the sum of its proper divisors (544576236).

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

344714964 is a wasteful number, since it uses less digits than its factorization.

344714964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1408 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 344714964 is about 18566.5011243368. The cubic root of 344714964 is about 701.1647031970.

The spelling of 344714964 in words is "three hundred forty-four million, seven hundred fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 199 242 363 398 484 597 726 796 1193 1194 1452 2189 2386 2388 3579 4378 4772 6567 7158 8756 13123 13134 14316 24079 26246 26268 39369 48158 52492 72237 78738 96316 144353 144474 157476 237407 288706 288948 433059 474814 577412 712221 866118 949628 1424442 1732236 2611477 2848884 5222954 7834431 10445908 15668862 28726247 31337724 57452494 86178741 114904988 172357482 344714964