Search a number
-
+
2612364340 = 22519471071367
BaseRepresentation
bin1001101110110101…
…1000010000110100
320202001121212011211
42123231120100310
520322231124330
61111120011204
7121510505365
oct23355302064
96661555154
102612364340
11112067aaa3
1260aa60b04
133282b1a21
141aad3db6c
15104523d2a
hex9bb58434

2612364340 has 96 divisors (see below), whose sum is σ = 5957038080. Its totient is φ = 959128704.

The previous prime is 2612364331. The next prime is 2612364343. The reversal of 2612364340 is 434632162.

It is a super-3 number, since 3×26123643403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612364343) 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, 1910337 + ... + 1911703.

It is an arithmetic number, because the mean of its divisors is an integer number (62052480).

Almost surely, 22612364340 is an apocalyptic number.

2612364340 is a gapful number since it is divisible by the number (20) 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 2612364340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978519040).

2612364340 is an abundant number, since it is smaller than the sum of its proper divisors (3344673740).

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

2612364340 is a wasteful number, since it uses less digits than its factorization.

2612364340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 2612364340 is about 51111.2936639252. The cubic root of 2612364340 is about 1377.2451413267.

The spelling of 2612364340 in words is "two billion, six hundred twelve million, three hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 107 188 190 214 235 380 428 470 535 893 940 1070 1367 1786 2033 2140 2734 3572 4066 4465 5029 5468 6835 8132 8930 10058 10165 13670 17860 20116 20330 25145 25973 27340 40660 50290 51946 64249 95551 100580 103892 128498 129865 146269 191102 256996 259730 292538 321245 382204 477755 519460 585076 642490 731345 955510 1220731 1284980 1462690 1911020 2441462 2779111 2925380 4882924 5558222 6103655 6874643 11116444 12207310 13749286 13895555 24414620 27498572 27791110 34373215 55582220 68746430 130618217 137492860 261236434 522472868 653091085 1306182170 2612364340