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3434230020204 = 2235113302310343
BaseRepresentation
bin110001111110011000000…
…011110111100001101100
3110011022100101122211200000
4301332120003313201230
5422231300341121304
611145355151504300
7503054264346264
oct61763003674154
913138311584600
103434230020204
1111044a3352975
124756b0828090
131bbb009c0269
14bc3092127a4
155e4eb2c5939
hex31f980f786c

3434230020204 has 144 divisors (see below), whose sum is σ = 9086038520832. Its totient is φ = 1134127878912.

The previous prime is 3434230020187. The next prime is 3434230020211. The reversal of 3434230020204 is 4020200324343.

3434230020204 is a `hidden beast` number, since 3 + 434 + 2 + 3 + 0 + 0 + 20 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332029057 + ... + 332039399.

It is an arithmetic number, because the mean of its divisors is an integer number (63097489728).

Almost surely, 23434230020204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434230020204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543019260416).

3434230020204 is an abundant number, since it is smaller than the sum of its proper divisors (5651808500628).

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

3434230020204 is a wasteful number, since it uses less digits than its factorization.

3434230020204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13498 (or 13484 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3434230020204 its reverse (4020200324343), we get a palindrome (7454430344547).

The spelling of 3434230020204 in words is "three trillion, four hundred thirty-four billion, two hundred thirty million, twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1356 2034 3023 3051 4068 6046 6102 9069 9153 10343 12092 12204 18138 18306 20686 27207 27459 31029 36276 36612 41372 54414 54918 62058 81621 93087 108828 109836 124116 163242 186174 244863 279261 326484 341599 372348 489726 558522 683198 734589 837783 979452 1024797 1117044 1168759 1366396 1469178 1675566 2049594 2337518 2513349 2938356 3074391 3351132 3506277 4099188 4675036 5026698 6148782 7012554 9223173 10053396 10518831 12297564 14025108 18446346 21037662 27669519 31266889 31556493 36892692 42075324 55339038 62533778 63112986 83008557 93800667 94669479 110678076 125067556 126225972 166017114 187601334 189338958 281402001 284008437 332034228 375202668 378677916 562804002 568016874 844206003 1125608004 1136033748 1688412006 2532618009 3376824012 3533158457 5065236018 7066316914 7597854027 10130472036 10599475371 14132633828 15195708054 21198950742 30391416108 31798426113 42397901484 63596852226 95395278339 127193704452 190790556678 286185835017 381581113356 572371670034 858557505051 1144743340068 1717115010102 3434230020204