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34044314432 = 262367345193
BaseRepresentation
bin11111101101001100…
…110000001101000000
310020212121101100210112
4133231030300031000
51024210321030212
623350103450452
72313435620012
oct375514601500
9106777340715
1034044314432
1113490145357
126721456a28
13329723106b
14190d6161b2
15d43c04422
hex7ed330340

34044314432 has 56 divisors (see below), whose sum is σ = 71546289216. Its totient is φ = 16039001088.

The previous prime is 34044314417. The next prime is 34044314489. The reversal of 34044314432 is 23441344043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73973 + ... + 271220.

Almost surely, 234044314432 is an apocalyptic number.

34044314432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34044314432 is an abundant number, since it is smaller than the sum of its proper divisors (37501974784).

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

34044314432 is a wasteful number, since it uses less digits than its factorization.

34044314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345295 (or 345285 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34044314432 its reverse (23441344043), we get a palindrome (57485658475).

The spelling of 34044314432 in words is "thirty-four billion, forty-four million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 67 92 134 184 268 368 536 736 1072 1472 1541 2144 3082 4288 6164 12328 24656 49312 98624 345193 690386 1380772 2761544 5523088 7939439 11046176 15878878 22092352 23127931 31757756 46255862 63515512 92511724 127031024 185023448 254062048 370046896 508124096 531942413 740093792 1063884826 1480187584 2127769652 4255539304 8511078608 17022157216 34044314432