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1983034674 = 23219291791117
BaseRepresentation
bin111011000110010…
…1011010100110010
312010012102121011200
41312030223110302
513030124102144
6524435152030
7100066342125
oct16614532462
95105377150
101983034674
1192840a335
12474145616
13257ab72ca
1414b5203bc
15b9160c69
hex7632b532

1983034674 has 96 divisors (see below), whose sum is σ = 4709016000. Its totient is φ = 600711552.

The previous prime is 1983034673. The next prime is 1983034681. The reversal of 1983034674 is 4764303891.

1983034674 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1983034673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774764 + ... + 1775880.

It is an arithmetic number, because the mean of its divisors is an integer number (49052250).

Almost surely, 21983034674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983034674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354508000).

1983034674 is an abundant number, since it is smaller than the sum of its proper divisors (2725981326).

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

1983034674 is a wasteful number, since it uses less digits than its factorization.

1983034674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1983034674 is about 44531.2774799915. The cubic root of 1983034674 is about 1256.3484337810.

The spelling of 1983034674 in words is "one billion, nine hundred eighty-three million, thirty-four thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 179 261 342 358 522 537 551 1074 1102 1117 1611 1653 2234 3222 3306 3351 3401 4959 5191 6702 6802 9918 10053 10203 10382 15573 20106 20406 21223 30609 31146 32393 42446 46719 61218 63669 64786 93438 97179 98629 127338 191007 194358 197258 199943 291537 295887 382014 399886 583074 591774 599829 615467 887661 1199658 1230934 1775322 1799487 1846401 3598974 3692802 3798917 5539203 5798347 7597834 11078406 11396751 11596694 17395041 22793502 34190253 34790082 52185123 68380506 104370246 110168593 220337186 330505779 661011558 991517337 1983034674