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3343929168 = 2431937412417
BaseRepresentation
bin1100011101010000…
…0100111101010000
322122001012012110110
43013110010331100
523322021213133
61311452001320
7145602633426
oct30724047520
98561165413
103343929168
111466619528
12793a60240
13413a23418
1423a173116
1514887dc63
hexc7504f50

3343929168 has 160 divisors (see below), whose sum is σ = 9570637440. Its totient is φ = 1001963520.

The previous prime is 3343929161. The next prime is 3343929179. The reversal of 3343929168 is 8619293433.

It is a happy number.

It is a super-2 number, since 2×33439291682 = 22363724561202344448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343929161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382296 + ... + 1384712.

It is an arithmetic number, because the mean of its divisors is an integer number (59816484).

Almost surely, 23343929168 is an apocalyptic number.

3343929168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343929168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785318720).

3343929168 is an abundant number, since it is smaller than the sum of its proper divisors (6226708272).

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

3343929168 is a wasteful number, since it uses less digits than its factorization.

3343929168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2519 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 3343929168 is about 57826.7167319743. The cubic root of 3343929168 is about 1495.3827154836.

The spelling of 3343929168 in words is "three billion, three hundred forty-three million, nine hundred twenty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 41 48 57 74 76 82 111 114 123 148 152 164 222 228 246 296 304 328 444 456 492 592 656 703 779 888 912 984 1406 1517 1558 1776 1968 2109 2337 2417 2812 3034 3116 4218 4551 4674 4834 5624 6068 6232 7251 8436 9102 9348 9668 11248 12136 12464 14502 16872 18204 18696 19336 24272 28823 29004 33744 36408 37392 38672 45923 57646 58008 72816 86469 89429 91846 99097 115292 116016 137769 172938 178858 183692 198194 230584 268287 275538 297291 345876 357716 367384 396388 461168 536574 551076 594582 691752 715432 734768 792776 1073148 1102152 1189164 1383504 1430864 1585552 1699151 1882843 2146296 2204304 2378328 3398302 3666589 3765686 4292592 4756656 5097453 5648529 6796604 7333178 7531372 10194906 10999767 11297058 13593208 14666356 15062744 20389812 21999534 22594116 27186416 29332712 30125488 40779624 43999068 45188232 58665424 69665191 81559248 87998136 90376464 139330382 175996272 208995573 278660764 417991146 557321528 835982292 1114643056 1671964584 3343929168