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3067668396 = 22331321311283
BaseRepresentation
bin1011011011011000…
…1110011110101100
321220210100200221000
42312312032132230
522240310342041
61224222440300
7136006515432
oct26666163654
97823320830
103067668396
111334689741
12717433090
1339b717a00
142115bcd52
1512e4adbb6
hexb6d8e7ac

3067668396 has 144 divisors (see below), whose sum is σ = 8684565120. Its totient is φ = 935962560.

The previous prime is 3067668371. The next prime is 3067668397. The reversal of 3067668396 is 6938667603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3067668397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390371 + ... + 2391653.

It is an arithmetic number, because the mean of its divisors is an integer number (60309480).

Almost surely, 23067668396 is an apocalyptic number.

3067668396 is a gapful number since it is divisible by the number (36) 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 3067668396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342282560).

3067668396 is an abundant number, since it is smaller than the sum of its proper divisors (5616896724).

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

3067668396 is a wasteful number, since it uses less digits than its factorization.

3067668396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 3067668396 is about 55386.5362339982. The cubic root of 3067668396 is about 1453.0129022872.

The spelling of 3067668396 in words is "three billion, sixty-seven million, six hundred sixty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 131 156 169 234 262 338 351 393 468 507 524 676 702 786 1014 1179 1283 1404 1521 1572 1703 2028 2358 2566 3042 3406 3537 3849 4563 4716 5109 5132 6084 6812 7074 7698 9126 10218 11547 14148 15327 15396 16679 18252 20436 22139 23094 30654 33358 34641 44278 45981 46188 50037 61308 66417 66716 69282 88556 91962 100074 132834 138564 150111 168073 183924 199251 200148 216827 265668 300222 336146 398502 433654 450333 504219 597753 600444 650481 672292 797004 867308 900666 1008438 1195506 1300962 1512657 1801332 1951443 2016876 2184949 2391012 2601924 3025314 3902886 4369898 4537971 5854329 6050628 6554847 7805772 8739796 9075942 11708658 13109694 18151884 19664541 23417316 26219388 28404337 39329082 56808674 58993623 78658164 85213011 113617348 117987246 170426022 235974492 255639033 340852044 511278066 766917099 1022556132 1533834198 3067668396