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348468070965 = 357231103148483
BaseRepresentation
bin1010001001000100101…
…00001100101000110101
31020022110100011010210120
411010202110030220311
521202130311232330
6424030052042153
734114235505600
oct5044224145065
91208410133716
10348468070965
1112486a1613a3
1257651303359
1326b253aa341
1412c1a21b337
1590e77edc10
hex512250ca35

348468070965 has 96 divisors (see below), whose sum is σ = 676003700736. Its totient is φ = 152663253120.

The previous prime is 348468070931. The next prime is 348468070967. The reversal of 348468070965 is 569070864843.

It is not a de Polignac number, because 348468070965 - 27 = 348468070837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 348468070899 and 348468070908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348468070967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2272614 + ... + 2421096.

It is an arithmetic number, because the mean of its divisors is an integer number (7041705216).

Almost surely, 2348468070965 is an apocalyptic number.

348468070965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

348468070965 is a deficient number, since it is larger than the sum of its proper divisors (327535629771).

348468070965 is a wasteful number, since it uses less digits than its factorization.

348468070965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148639 (or 148632 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 348468070965 in words is "three hundred forty-eight billion, four hundred sixty-eight million, seventy thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 15 21 31 35 49 93 103 105 147 155 217 245 309 465 515 651 721 735 1085 1519 1545 2163 3193 3255 3605 4557 5047 7595 9579 10815 15141 15965 22351 22785 25235 47895 67053 75705 111755 148483 156457 335265 445449 469371 742415 782285 1039381 2227245 2346855 3118143 4602973 5196905 7275667 13808919 15293749 15590715 21827001 23014865 32220811 36378335 45881247 69044595 76468745 96662433 107056243 109135005 161104055 225545677 229406235 321168729 474106219 483312165 535281215 676637031 749393701 1127728385 1422318657 1605843645 2248181103 2370531095 3318743533 3383185155 3746968505 7111593285 9956230599 11240905515 16593717665 23231204731 49781152995 69693614193 116156023655 348468070965