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34148910312 = 23331131463627
BaseRepresentation
bin11111110011011011…
…110000010011101000
310021010220012101101000
4133303123300103220
51024414110112222
623404321355000
72316145643166
oct376333602350
9107126171330
1034148910312
1113534195830
126750498a60
1332b2ac370a
14191d482236
15d4ceb59ac
hex7f36f04e8

34148910312 has 128 divisors (see below), whose sum is σ = 106819891200. Its totient is φ = 10014321600.

The previous prime is 34148910307. The next prime is 34148910317. The reversal of 34148910312 is 21301984143.

It is an interprime number because it is at equal distance from previous prime (34148910307) and next prime (34148910317).

It is a super-2 number, since 2×341489103122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34148910317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158158 + ... + 305469.

It is an arithmetic number, because the mean of its divisors is an integer number (834530400).

Almost surely, 234148910312 is an apocalyptic number.

It is an amenable number.

34148910312 is an abundant number, since it is smaller than the sum of its proper divisors (72670980888).

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

34148910312 is a wasteful number, since it uses less digits than its factorization.

34148910312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463684 (or 463674 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 34148910312 in words is "thirty-four billion, one hundred forty-eight million, nine hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 73656 463627 927254 1390881 1854508 2781762 3709016 4172643 5099897 5563524 8345286 10199794 11127048 12517929 14372437 15299691 16690572 20399588 25035858 28744874 30599382 33381144 40799176 43117311 45899073 50071716 57489748 61198764 86234622 91798146 100143432 114979496 122397528 129351933 137697219 158096807 172469244 183596292 258703866 275394438 316193614 344938488 367192584 388055799 474290421 517407732 550788876 632387228 776111598 948580842 1034815464 1101577752 1264774456 1422871263 1552223196 1897161684 2845742526 3104446392 3794323368 4268613789 5691485052 8537227578 11382970104 17074455156 34148910312