Search a number
-
+
3400202222430 = 23513106125933169
BaseRepresentation
bin110001011110101011110…
…110000111101101011110
3110001001111221100121110120
4301132223312013231132
5421202103232104210
611122010434015410
7500441116006626
oct61365366075536
913031457317416
103400202222430
1110a1021569852
1246ab94a17566
131b883a022c90
14ba7dbc99886
155d6a8c85270
hex317abd87b5e

3400202222430 has 128 divisors (see below), whose sum is σ = 8802667198080. Its totient is φ = 835597762560.

The previous prime is 3400202222399. The next prime is 3400202222447. The reversal of 3400202222430 is 342222020043.

It is a happy number.

It is a super-2 number, since 2×34002022224302 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3400202222430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1072955886 + ... + 1072959054.

It is an arithmetic number, because the mean of its divisors is an integer number (68770837485).

Almost surely, 23400202222430 is an apocalyptic number.

3400202222430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3400202222430 is an abundant number, since it is smaller than the sum of its proper divisors (5402464975650).

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

3400202222430 is a wasteful number, since it uses less digits than its factorization.

3400202222430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3400202222430 its reverse (342222020043), we get a palindrome (3742424242473).

The spelling of 3400202222430 in words is "three trillion, four hundred billion, two hundred two million, two hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1061 2122 2593 3169 3183 5186 5305 6338 6366 7779 9507 10610 12965 13793 15558 15845 15915 19014 25930 27586 31690 31830 33709 38895 41197 41379 47535 67418 68965 77790 82394 82758 95070 101127 123591 137930 168545 202254 205985 206895 247182 337090 411970 413790 505635 617955 1011270 1235910 2751173 3362309 5502346 6724618 8217217 8253519 10086927 13755865 16434434 16507038 16811545 20173854 24651651 27511730 33623090 35765249 41086085 41267595 43710017 49303302 50434635 71530498 82172170 82535190 87420034 100869270 106823821 107295747 123258255 131130051 178826245 213647642 214591494 218550085 246516510 262260102 320471463 357652490 437100170 534119105 536478735 640942926 655650255 1068238210 1072957470 1311300510 1602357315 3204714630 8718467237 17436934474 26155401711 43592336185 52310803422 87184672370 113340074081 130777008555 226680148162 261554017110 340020222243 566700370405 680040444486 1133400740810 1700101111215 3400202222430