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34720442688 = 263180835639
BaseRepresentation
bin100000010101011111…
…111110100101000000
310022121201122020101210
4200111133332211000
51032101413131223
623541135330120
72336255615301
oct402537764500
9108551566353
1034720442688
11137a786a538
12688b980940
133374332959
1419753387a8
15d8325d893
hex8157fe940

34720442688 has 28 divisors (see below), whose sum is σ = 91864505120. Its totient is φ = 11573480832.

The previous prime is 34720442683. The next prime is 34720442693. The reversal of 34720442688 is 88624402743.

It is an interprime number because it is at equal distance from previous prime (34720442683) and next prime (34720442693).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34720442683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90417628 + ... + 90418011.

Almost surely, 234720442688 is an apocalyptic number.

It is an amenable number.

34720442688 is an abundant number, since it is smaller than the sum of its proper divisors (57144062432).

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

34720442688 is a wasteful number, since it uses less digits than its factorization.

34720442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180835654 (or 180835644 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 34720442688 in words is "thirty-four billion, seven hundred twenty million, four hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 180835639 361671278 542506917 723342556 1085013834 1446685112 2170027668 2893370224 4340055336 5786740448 8680110672 11573480896 17360221344 34720442688