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344436220638 = 2324367299133
BaseRepresentation
bin1010000001100011111…
…11111010001011011110
31012221001100111220220200
411000301333322023132
521120401133030023
6422122023324330
733612310366116
oct5006177721336
91187040456820
10344436220638
111230902a3594
1256906bb06a6
1326631cb66a3
1412956976046
158e5d886743
hex5031ffa2de

344436220638 has 72 divisors (see below), whose sum is σ = 775209242808. Its totient is φ = 110467149408.

The previous prime is 344436220627. The next prime is 344436220657. The reversal of 344436220638 is 836022634443.

It is a happy number.

344436220638 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 3 + 6 + 2 + 2 + 0 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 344436220593 and 344436220602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3424920 + ... + 3524052.

It is an arithmetic number, because the mean of its divisors is an integer number (10766795039).

Almost surely, 2344436220638 is an apocalyptic number.

344436220638 is an abundant number, since it is smaller than the sum of its proper divisors (430773022170).

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

344436220638 is a wasteful number, since it uses less digits than its factorization.

344436220638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99318 (or 99248 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 344436220638 in words is "three hundred forty-four billion, four hundred thirty-six million, two hundred twenty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 43 67 86 129 134 201 258 387 402 603 774 1206 2881 4489 5762 8643 8978 13467 17286 25929 26934 40401 51858 80802 99133 193027 198266 297399 386054 579081 594798 892197 1158162 1737243 1784394 3474486 4262719 6641911 8525438 12788157 13283822 19925733 25576314 38364471 39851466 59777199 76728942 119554398 285602173 445008037 571204346 856806519 890016074 1335024111 1713613038 2570419557 2670048222 4005072333 5140839114 8010144666 19135345591 38270691182 57406036773 114812073546 172218110319 344436220638