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1338891684 = 2231326179137
BaseRepresentation
bin100111111001101…
…1101110110100100
310110022100202002220
41033303131312210
510220224013214
6340505032340
745115251204
oct11763356644
93408322086
101338891684
11627851159
123144856b0
13184504200
14c9b66404
157c8239a9
hex4fcddda4

1338891684 has 144 divisors (see below), whose sum is σ = 3507275520. Its totient is φ = 397163520.

The previous prime is 1338891683. The next prime is 1338891689. The reversal of 1338891684 is 4861988331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338891683) 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, 9772864 + ... + 9773000.

It is an arithmetic number, because the mean of its divisors is an integer number (24356080).

Almost surely, 21338891684 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 1338891684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753637760).

1338891684 is an abundant number, since it is smaller than the sum of its proper divisors (2168383836).

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

1338891684 is a wasteful number, since it uses less digits than its factorization.

1338891684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 1338891684 is about 36590.8688609604. The cubic root of 1338891684 is about 1102.1697350440.

The spelling of 1338891684 in words is "one billion, three hundred thirty-eight million, eight hundred ninety-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 79 122 137 156 158 169 183 237 244 274 316 338 366 411 474 507 548 676 732 793 822 948 1014 1027 1586 1644 1781 2028 2054 2379 3081 3172 3562 4108 4758 4819 5343 6162 7124 8357 9516 9638 10309 10686 10823 12324 13351 14457 16714 19276 20618 21372 21646 23153 25071 26702 28914 30927 32469 33428 40053 41236 43292 46306 50142 53404 57828 61854 62647 64938 69459 80106 92612 100284 108641 123708 125294 129876 138918 140699 160212 187941 217282 250588 277836 281398 325923 375882 422097 434564 562796 651846 660203 751764 814411 844194 1303692 1320406 1412333 1628822 1688388 1829087 1980609 2443233 2640812 2824666 3257644 3658174 3961218 4236999 4886466 5487261 5649332 7316348 7922436 8473998 8582639 9772932 10974522 16947996 17165278 21949044 25747917 34330556 51495834 102991668 111574307 223148614 334722921 446297228 669445842 1338891684