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1234669968 = 243275212351
BaseRepresentation
bin100100110010111…
…1001000110010000
310012001020201210100
41021211321012100
510012033414333
6322303132400
742411343620
oct11145710620
93161221710
101234669968
11583a36904
122a55a4100
13168a42c5c
14b9d96880
15735d8213
hex49979190

1234669968 has 120 divisors (see below), whose sum is σ = 3958246656. Its totient is φ = 351936000.

The previous prime is 1234669963. The next prime is 1234669973. The reversal of 1234669968 is 8699664321.

It is an interprime number because it is at equal distance from previous prime (1234669963) and next prime (1234669973).

It is a super-2 number, since 2×12346699682 = 3048819859762242048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1234669963) 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, 523993 + ... + 526343.

Almost surely, 21234669968 is an apocalyptic number.

1234669968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234669968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979123328).

1234669968 is an abundant number, since it is smaller than the sum of its proper divisors (2723576688).

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

1234669968 is a wasteful number, since it uses less digits than its factorization.

1234669968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2884 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1234669968 is about 35137.8708518316. The cubic root of 1234669968 is about 1072.7955453940.

The spelling of 1234669968 in words is "one billion, two hundred thirty-four million, six hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 521 1008 1042 1563 2084 2351 3126 3647 4168 4689 4702 6252 7053 7294 8336 9378 9404 10941 12504 14106 14588 16457 18756 18808 21159 21882 25008 28212 29176 32823 32914 37512 37616 42318 43764 49371 56424 58352 65646 65828 75024 84636 87528 98742 112848 131292 131656 148113 169272 175056 197484 262584 263312 296226 338544 394968 525168 592452 789936 1184904 1224871 2369808 2449742 3674613 4899484 7349226 8574097 9798968 11023839 14698452 17148194 19597936 22047678 25722291 29396904 34296388 44095356 51444582 58793808 68592776 77166873 88190712 102889164 137185552 154333746 176381424 205778328 308667492 411556656 617334984 1234669968