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34319195820 = 223257132095189
BaseRepresentation
bin11111111101100101…
…010101111010101100
310021120202121210011200
4133331211111322230
51030241203231240
623433243245500
72323314231330
oct377545257254
9107522553150
1034319195820
1113611322858
126799519890
13330c175980
141937d2b7c0
15d5ce00930
hex7fd955eac

34319195820 has 144 divisors (see below), whose sum is σ = 128125058880. Its totient is φ = 7240969728.

The previous prime is 34319195707. The next prime is 34319195831. The reversal of 34319195820 is 2859191343.

It is a happy number.

34319195820 is a `hidden beast` number, since 3 + 43 + 19 + 19 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031215 + ... + 1063974.

Almost surely, 234319195820 is an apocalyptic number.

34319195820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34319195820 is an abundant number, since it is smaller than the sum of its proper divisors (93805863060).

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

34319195820 is a wasteful number, since it uses less digits than its factorization.

34319195820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095224 (or 2095219 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 34319195820 in words is "thirty-four billion, three hundred nineteen million, one hundred ninety-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 2095189 4190378 6285567 8380756 10475945 12571134 14666323 18856701 20951890 25142268 27237457 29332646 31427835 37713402 41903780 43998969 54474914 58665292 62855670 73331615 75426804 81712371 87997938 94283505 108949828 125711340 131996907 136187285 146663230 163424742 175995876 188567010 190662199 219994845 245137113 263993814 272374570 293326460 326849484 377134020 381324398 408561855 439989690 490274226 527987628 544749140 571986597 659984535 762648796 817123710 879979380 953310995 980548452 1143973194 1225685565 1319969070 1634247420 1715959791 1906621990 2287946388 2451371130 2639938140 2859932985 3431919582 3813243980 4902742260 5719865970 6863839164 8579798955 11439731940 17159597910 34319195820