Search a number
-
+
30362366970 = 23351316353069
BaseRepresentation
bin11100010001101111…
…001111001111111010
32220101000011001102000
4130101233033033322
5444140231220340
621540454521430
72123256601215
oct342157171772
986330131360
1030362366970
1111970845771
125a74366276
132b2b48b320
14168061477c
15bca856d30
hex711bcf3fa

30362366970 has 128 divisors (see below), whose sum is σ = 87731078400. Its totient is φ = 7427821824.

The previous prime is 30362366939. The next prime is 30362366971. The reversal of 30362366970 is 7966326303.

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

It is not an unprimeable number, because it can be changed into a prime (30362366971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545596 + ... + 598664.

It is an arithmetic number, because the mean of its divisors is an integer number (685399050).

Almost surely, 230362366970 is an apocalyptic number.

30362366970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30362366970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43865539200).

30362366970 is an abundant number, since it is smaller than the sum of its proper divisors (57368711430).

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

30362366970 is a wasteful number, since it uses less digits than its factorization.

30362366970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53261 (or 53255 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 30362366970 in words is "thirty billion, three hundred sixty-two million, three hundred sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 163 195 234 270 326 351 390 489 585 702 815 978 1170 1467 1630 1755 2119 2445 2934 3510 4238 4401 4890 6357 7335 8802 10595 12714 14670 19071 21190 22005 31785 38142 44010 53069 57213 63570 95355 106138 114426 159207 190710 265345 286065 318414 477621 530690 572130 689897 796035 955242 1379794 1432863 1592070 2069691 2388105 2865726 3449485 4139382 4776210 6209073 6898970 7164315 8650247 10348455 12418146 14328630 17300494 18627219 20696910 25950741 31045365 37254438 43251235 51901482 62090730 77852223 86502470 93136095 112453211 129753705 155704446 186272190 224906422 233556669 259507410 337359633 389261115 467113338 562266055 674719266 778522230 1012078899 1124532110 1167783345 1686798165 2024157798 2335566690 3036236697 3373596330 5060394495 6072473394 10120788990 15181183485 30362366970