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349913655 = 33572132313
BaseRepresentation
bin10100110110110…
…100001000110111
3220101102110022000
4110312310020313
51204034214110
654415510343
711446134300
oct2466641067
9811373260
10349913655
1116a576343
12992283b3
1357655b00
14346877a7
1520abd1c0
hex14db4237

349913655 has 144 divisors (see below), whose sum is σ = 786080160. Its totient is φ = 147184128.

The previous prime is 349913617. The next prime is 349913677. The reversal of 349913655 is 556319943.

It is not a de Polignac number, because 349913655 - 227 = 215695927 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 349913655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1117779 + ... + 1118091.

It is an arithmetic number, because the mean of its divisors is an integer number (5458890).

Almost surely, 2349913655 is an apocalyptic number.

349913655 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

349913655 is an abundant number, since it is smaller than the sum of its proper divisors (436166505).

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

349913655 is a wasteful number, since it uses less digits than its factorization.

349913655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 349913655 is about 18705.9791243335. The cubic root of 349913655 is about 704.6719161537.

The spelling of 349913655 in words is "three hundred forty-nine million, nine hundred thirteen thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 91 105 117 135 147 169 189 195 245 273 313 315 351 441 455 507 585 637 735 819 845 939 945 1183 1323 1365 1521 1565 1755 1911 2191 2205 2457 2535 2817 3185 3549 4069 4095 4563 4695 5733 5915 6573 6615 7605 8281 8451 9555 10647 10955 12207 12285 14085 15337 17199 17745 19719 20345 22815 24843 28483 28665 31941 32865 36621 41405 42255 46011 52897 53235 59157 61035 74529 76685 85449 85995 98595 109863 124215 138033 142415 158691 159705 183105 199381 223587 230055 256347 264485 295785 370279 372645 414099 427245 476073 549315 598143 690165 769041 793455 996905 1110837 1117935 1281735 1428219 1794429 1851395 2070495 2380365 2591953 2990715 3332511 3845205 5383287 5554185 7141095 7775859 8972145 9997533 12959765 16662555 23327577 26916435 38879295 49987665 69982731 116637885 349913655