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981084342 = 237193139659
BaseRepresentation
bin111010011110100…
…010100010110110
32112101002020201010
4322132202202312
54002124144332
6241204013050
733212036130
oct7236424266
92471066633
10981084342
11463884207
12234691186
131283464a4
1494426050
155b1e69cc
hex3a7a28b6

981084342 has 64 divisors (see below), whose sum is σ = 2436710400. Its totient is φ = 256983840.

The previous prime is 981084337. The next prime is 981084347. The reversal of 981084342 is 243480189.

It is an interprime number because it is at equal distance from previous prime (981084337) and next prime (981084347).

It is a super-2 number, since 2×9810843422 = 1925052972235145928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 981084342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981084347) 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, 4909 + ... + 44567.

It is an arithmetic number, because the mean of its divisors is an integer number (38073600).

Almost surely, 2981084342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981084342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218355200).

981084342 is an abundant number, since it is smaller than the sum of its proper divisors (1455626058).

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

981084342 is a wasteful number, since it uses less digits than its factorization.

981084342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39721.

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 981084342 is about 31322.2659142023. The cubic root of 981084342 is about 993.6546017516.

The spelling of 981084342 in words is "nine hundred eighty-one million, eighty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3534 4123 8246 12369 24738 39659 79318 118977 237954 277613 555226 753521 832839 1229429 1507042 1665678 2260563 2458858 3688287 4521126 5274647 7376574 8606003 10549294 15823941 17212006 23359151 25818009 31647882 46718302 51636018 70077453 140154906 163514057 327028114 490542171 981084342