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1341684072 = 2332295910891
BaseRepresentation
bin100111111111000…
…0111100101101000
310110111121121112200
41033332013211220
510221432342242
6341044540200
745151061241
oct11776074550
93414547480
101341684072
11629389113
123153b1660
13184c71201
14ca291cc8
157cbc604c
hex4ff87968

1341684072 has 96 divisors (see below), whose sum is σ = 3823092000. Its totient is φ = 424448640.

The previous prime is 1341684049. The next prime is 1341684073. The reversal of 1341684072 is 2704861431.

It is a super-2 number, since 2×13416840722 = 3600232298117002368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1341684073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117747 + ... + 128637.

It is an arithmetic number, because the mean of its divisors is an integer number (39823875).

Almost surely, 21341684072 is an apocalyptic number.

1341684072 is a gapful number since it is divisible by the number (12) 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 1341684072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911546000).

1341684072 is an abundant number, since it is smaller than the sum of its proper divisors (2481407928).

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

1341684072 is a wasteful number, since it uses less digits than its factorization.

1341684072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10991 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1341684072 is about 36629.0058833160. The cubic root of 1341684072 is about 1102.9354301462.

The spelling of 1341684072 in words is "one billion, three hundred forty-one million, six hundred eighty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 59 72 87 116 118 174 177 232 236 261 348 354 472 522 531 696 708 1044 1062 1416 1711 2088 2124 3422 4248 5133 6844 10266 10891 13688 15399 20532 21782 30798 32673 41064 43564 61596 65346 87128 98019 123192 130692 196038 261384 315839 392076 631678 642569 784152 947517 1263356 1285138 1895034 1927707 2526712 2570276 2842551 3790068 3855414 5140552 5685102 5783121 7580136 7710828 11370204 11566242 15421656 18634501 22740408 23132484 37269002 46264968 55903503 74538004 111807006 149076008 167710509 223614012 335421018 447228024 670842036 1341684072